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Mechanical Engineering : Engineering Mechanics - Quiz(MCQ)
A)
Study of bodies only under rest
B)
Study of bodies only under motion
C)
Study of bodies under motion without considering forces
D)
Application of mechanics to issues involving common engineering aspects

Correct Answer :   Application of mechanics to issues involving common engineering aspects


Explanation : The application of mechanics to issues involving common engineering aspects is known as engineering mechanics. The purpose of the Engineering Mechanics course is to expose students to mechanics problems as they are applied to realistic circumstances.

A)
Branch of science which deals with failure analysis
B)
Branch of science which deals with the study of bodies only under rest
C)
Branch of science which deals with conditions of rest or motion of bodies
D)
Branch of science which deals with the study of bodies only under motion

Correct Answer :   Branch of science which deals with conditions of rest or motion of bodies


Explanation : The branch of physics that deals with how the action of force affects material bodies or the functional aspects of activity are known as mechanics. The distance takes an automobile traveling at 30 mph to come to a complete stop is an illustration of mechanics.

A)
Some force acts on a body, but displacement is zero
B)
No force acts on a body but some displacement takes place
C)
Both (A) and (B)
D)
None of the above

Correct Answer :   Both (A) and (B)

A)
0.1 joule/s
B)
1 joule/s
C)
10 joules/s
D)
100 joules/s

Correct Answer :   1 joule/s

A)
15 N and 5 N
B)
15 N and 15 N
C)
20 N and 5 N
D)
None of the above

Correct Answer :   15 N and 5 N

6 .
Which of the following statement is correct?
A)
The algebraic sum of the forces, constituting the couple is zero.
B)
The algebraic sum of the forces, constituting the couple, about any point is the same.
C)
A couple cannot be balanced by a single force but can be balanced only by a couple of opposite sense.
D)
All of the above

Correct Answer :   All of the above

7 .
The velocity ratio of a differential wheel and axle with D as the diameter of effort wheel and d₁,and d₂ as the diameters of larger and smaller axles respectively, is
A)
D/d₁ + d₂
B)
D/d₁ - d₂
C)
2D/d₁ + d₂
D)
2D/d₁ - d₂

Correct Answer :   2D/d₁ - dâ‚‚

A)
Angle of projection
B)
Angle of inclination of the plane
C)
Both (A) and (B)
D)
None of the above

Correct Answer :   Both (A) and (B)

9 .
The force induced in the string BC due to the load W as shown in the below figure is
A)
W cot θ
B)
W tan θ
C)
W cos θ
D)
W sin θ

Correct Answer :   W cot θ

A)
potential energy only
B)
kinetic energy of rotation only
C)
kinetic energy of translation only
D)
kinetic energy of translation and rotation both

Correct Answer :   kinetic energy of translation and rotation both

A)
ω.y
B)
ω².y
C)
ω² /y
D)
ω³.y

Correct Answer :   ω².y

A)
less than
B)
greater than
C)
Both (A) and (B)
D)
None of the above

Correct Answer :   greater than

A)
magnitude of the force
B)
line of action of the force
C)
nature of the force i,e. whether the force is push or pull
D)
All of the above

Correct Answer :   All of the above

A)
directly
B)
inversely
C)
Both (A) and (B)
D)
None of the above

Correct Answer :   directly

A)
do not meet at one point but their lines of action lie on the same plane
B)
meet at one point, but their lines of action do not lie on the same plane
C)
do not meet at one point and their lines of action do not lie on the same plane
D)
None of the above

Correct Answer :   do not meet at one point and their lines of action do not lie on the same plane

A)
lie
B)
do not lie
C)
Both (A) and (B)
D)
None of the above

Correct Answer :   do not lie

A)
ideal machine
B)
reversible machine
C)
non-reversible machine
D)
neither reversible nor non-reversible machine

Correct Answer :   non-reversible machine

18 .
The total momentum of a system of masses (i. e. moving bodies) in any one direction remains constant, unless acted upon by an external force in that direction. This statement is called
A)
Newton's first law of motion
B)
Newton's second law of motion
C)
principle of conservation of energy
D)
principle of conservation of momentum

Correct Answer :   principle of conservation of momentum

19 .
Three forces acting on a rigid body are represented in magnitude, direction and line of action by the three sides of a triangle taken in order. The forces are equivalent to a couple whose moment is equal to
A)
area of the triangle
B)
twice the area of the triangle
C)
half the area of the triangle
D)
None of the above

Correct Answer :   twice the area of the triangle

A)
g/2
B)
g/3
C)
g/4
D)
None of the above

Correct Answer :   None of the above

A)
coplaner concurrent forces
B)
coplaner non-concurrent forces
C)
non-coplaner concurrent forces
D)
non-coplaner non-concurrent forces

Correct Answer :   coplaner concurrent forces

22 .
The velocity ratio for the third system of pulleys is
A)
n
B)
n2
C)
2n
D)
2n - 1

Correct Answer :   2n - 1

23 .
If the masses of both the bodies, as shown in the below figure, are doubled, then the acceleration in the string will be
A)
same
B)
half
C)
double
D)
None of the above

Correct Answer :   same

A)
curved surface
B)
convex surface
C)
horizontal surface
D)
None of the above

Correct Answer :   horizontal surface

A)
their algebraic sum is zero
B)
their lines of action are at equal distances
C)
the algebraic sum of their moments about any point in their plane is zero
D)
the algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point.

Correct Answer :   the algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point.

26 .
A block ot mass 20 kg lying on a rough horizontal plane is connected by a light string passing over a smooth pulley to another mass 5 kg, which can move freely in the Vertical direction, as shown in the below figure. The tension in the string will __________ with the increase in coefficient of friction.
A)
increase
B)
decrease
C)
Not be effected
D)
None of the above

Correct Answer :   increase

A)
Statics and kinetics
B)
Statics and dynamics
C)
Kinematics and dynamics
D)
Kinetics and kinematics

Correct Answer :   Statics and dynamics


Explanation : There are two branches of mechanics they are statics and dynamics. Statics deals with the study of bodies at rest. Dynamics deals with the study of bodies under motion.

A)
Hooke’s law
B)
Parallelogram law
C)
Newton’s laws of motion
D)
Newton’s law of viscosity

Correct Answer :   Newton’s laws of motion


Explanation : The fundamental law for engineering mechanics is Newton’s laws of motion. Newton’s first law, second law, and third law are widely used to solve issues involving mechanical aspects.

A)
Force
B)
Work
C)
Torque
D)
Momentum

Correct Answer :   Force


Explanation : The pull or push of a body at rest or motion is termed as a force. When an external agent acts on a body, it moves. This external agent is force.

A)
compound pendulum
B)
simple pendulum
C)
second's pendulum
D)
torsional pendulum

Correct Answer :   compound pendulum

31 .
Moment of inertia of a hollow circular section, as shown in the below figure about X-axis, is
A)
π/64 (d⁴-d⁴)
B)
π/32 (d⁴-d⁴)
C)
π/16 (d³-d³)
D)
π/16 (d²-d²)

Correct Answer :   π/64 (d⁴-d⁴)

32 .
If two blocks of equal mass are attached to the two ends of a light string and one of the blocks is placed over a smooth horizontal plane while the other is hung freely after passing over a smooth pulley, then the two blocks will have some motion.
A)
Agree
B)
Disagree
C)
Both (A) and (B)
D)
None of the above

Correct Answer :   Agree

A)
equal to
B)
less than
C)
greater than
D)
equal and opposite to

Correct Answer :   equal and opposite to

A)
90° and 0°
B)
90° and 180°
C)
0° and 180°
D)
180° and 0°

Correct Answer :   0° and 180°

A)
perfect
B)
imperfect
C)
deficient
D)
None of the above

Correct Answer :   imperfect

A)
Correct
B)
Incorrect
C)
None of the above
D)
--

Correct Answer :   Incorrect

A)
⁄ω
B)
⁄ω²
C)
0.5 ⁄ω
D)
0.5 ⁄ω²

Correct Answer :   0.5 ⁄ω²

A)
500N
B)
100N
C)
20N
D)
None of the above

Correct Answer :   500N

A)
Agree
B)
Disagree
C)
Both (A) and (B)
D)
None of the above

Correct Answer :   Agree

A)
less than
B)
equal to
C)
greater than
D)
Either (A) or (C)

Correct Answer :   equal to

A)
an ideal machine
B)
a reversible machine
C)
a non-reversible machine
D)
None of the above

Correct Answer :   a non-reversible machine

A)
depends
B)
does not depend
C)
Both (A) and (B)
D)
None of the above

Correct Answer :   depends

A)
to every action, there is always an equal and opposite reaction
B)
every body continues in its state of rest or of uniform motion, in a straight line, unless it is acted upon by some external force
C)
the rate of change of momentum is directly proportional to the impressed force, and takes place in the same direction, in which the force acts
D)
None of the above

Correct Answer :   every body continues in its state of rest or of uniform motion, in a straight line, unless it is acted upon by some external force

A)
a⁴/4
B)
a⁴/8
C)
a⁴/12
D)
a⁴/36

Correct Answer :   a⁴/12

A)
purely rotational
B)
purely translation
C)
combined translation and rotational
D)
None of the above

Correct Answer :   combined translation and rotational

A)
increasing the length of the handle
B)
increasing the radius of the load drum
C)
increasing the number of teeth of the pinion
D)
All of the above

Correct Answer :   increasing the length of the handle

A)
lie on the same line
B)
meet at one point
C)
meet on the same plane
D)
None of the above

Correct Answer :   meet at one point

A)
upwards
B)
downwards
C)
Both (A) and (B)
D)
None of the above

Correct Answer :   upwards

49 .
Which of the following statement is correct?
A)
The kinetic energy of a body during impact remains constant.
B)
The kinetic energy of a body before impact is equal to the kinetic energy of a body after impact.
C)
The kinetic energy of a body before impact is less than the kinetic energy of a body after impact.
D)
The kinetic energy of a body before impact is more than the kinetic energy of a body after impact.

Correct Answer :   The kinetic energy of a body before impact is more than the kinetic energy of a body after impact.

A)
bh³/4
B)
bh³/8
C)
bh³/ 12
D)
bh³/ 36

Correct Answer :   bh³/ 12

A)
Linear velocity
B)
Linear displacement
C)
Linear acceleration
D)
All of the above

Correct Answer :   All of the above

A)
ω
B)
ωr
C)
ω²r
D)
ω/r

Correct Answer :   ω²r

A)
meet at one point and their lines of action also lie on the same plane
B)
meet at one point, but their lines of action do not lie on the same plane
C)
do not meet at one point, but their lines of action lie on the same plane
D)
do not meet at one point and their lines of action do not lie on the same plane

Correct Answer :   meet at one point, but their lines of action do not lie on the same plane

A)
minimum, if it acts at the centre of gravity of the body
B)
same at every point on its line of action
C)
maximum, if it acts at the centre of gravity of the body
D)
different at different points on its line of action

Correct Answer :   minimum, if it acts at the centre of gravity of the body

A)
gives
B)
does not give
C)
Both (A) and (B)
D)
None of the above

Correct Answer :   gives

A)
3mr²/5
B)
2mr²/5
C)
2mr²/3
D)
mr²/3

Correct Answer :   2mr²/3

58 .
The resultant of two forces P and Q (such that P > Q) acting along the same straight line, but in opposite direction, is given by
A)
P + Q
B)
P - Q
C)
P / Q
D)
Q / P

Correct Answer :   P - Q

A)
Newton's first law of motion
B)
Newton's second law of motion
C)
Newton's third law of motion
D)
None of the above

Correct Answer :   Newton's third law of motion

A)
β/2
B)
30° + β/2
C)
45° + β/2
D)
60° + β/2

Correct Answer :   45° + β/2

A)
the two bodies begin to regain their original shape
B)
the two bodies will momentarily come to rest after collision
C)
the two bodies tend to compress and deform at the surface of contact
D)
All of the above

Correct Answer :   All of the above

A)
halved
B)
quadrupled
C)
doubled
D)
None of the above

Correct Answer :   quadrupled

A)
first
B)
second
C)
third
D)
None of the above

Correct Answer :   second

A)
is the turning effect produced by a force, on the body, on which it acts
B)
is equal to the product of force acting on the body and the perpendicular distance of a point and the line of action of the force
C)
is equal to twice the area of the traingle, whose base is the line representing the force and whose vertex is the point, about which the moment is taken
D)
All of the above

Correct Answer :   All of the above

A)
mass
B)
weight
C)
momentum
D)
impulsive force

Correct Answer :   momentum

68 .
A lead ball with a certain velocity is made to strike a wall, it falls down, but rubber ball of same mass and with same velocity strikes the same wall, it rebounds. Select the correct reason from the following :
A)
both the balls undergo an equal change in momentum
B)
the change in momentum suffered by rubber ball is more than the lead ball
C)
the change in momentum suffered by rubber ball is less than the lead ball
D)
None of the above

Correct Answer :   the change in momentum suffered by rubber ball is more than the lead ball

A)
P - m.a = 0
B)
P/m.a = 0
C)
P + m.a = 0
D)
P x m.a = 0

Correct Answer :   P - m.a = 0

A)
static friction
B)
dynamic friction
C)
limiting friction
D)
coefficient of friction

Correct Answer :   static friction

A)
mr²
B)
mr²/2
C)
2mr²/3
D)
2mr²/5

Correct Answer :   2mr²/5

A)
weight
B)
mass
C)
momentum
D)
impulsive force

Correct Answer :   mass

A)
less than
B)
greater than
C)
equal to
D)
None of the above

Correct Answer :   equal to

74 .
Which of the following statement is correct?
A)
The velocity of the particle moving with simple harmonic motion is zero at the mean position.
B)
The acceleration of the particle moving with simple harmonic motion is maximum at the mean position.
C)
The periodic time of a particle moving with simple harmonic motion is directly proportional to its angular velocity.
D)
The periodic time of a particle moving with simple harmonic motion is the time taken by a particle for one complete oscillation,

Correct Answer :   The periodic time of a particle moving with simple harmonic motion is the time taken by a particle for one complete oscillation,

75 .
The law of the machine is(where P = Effort applied to lift the load, m = A constant which is equal to the slope of the line, W = Load lifted, and C = Another constant which represents the machine friction.)
A)
P = mW + C
B)
P = C - mW
C)
P = mW - C
D)
P = m/W + C

Correct Answer :   P = mW + C

76 .
In a framed structure, as shown in the below figure, the force in the member AB is __________ the force in member AC.
A)
half
B)
double
C)
equal to
D)
None of the above

Correct Answer :   half

77 .
The moment of the force P about O as shown in the below figure is
A)
P x OA
B)
P x OB
C)
P x OC
D)
P x AC

Correct Answer :   P x OC

A)
equal to
B)
less than
C)
greater than
D)
None of the above

Correct Answer :   less than

A)
strain energy
B)
heat energy
C)
kinetic energy
D)
electrical energy

Correct Answer :   strain energy

A)
power
B)
kinetic energy
C)
potential energy
D)
None of the above

Correct Answer :   power

A)
πd³/16
B)
πd³/32
C)
πd⁴/32
D)
πd⁴/64

Correct Answer :   Ï€d⁴/64

A)
less than
B)
equal to
C)
more than
D)
None of the above

Correct Answer :   less than

A)
2√3a
B)
3√2a
C)
a/2√3
D)
√3a/2

Correct Answer :   a/2√3

A)
principle of independence of forces
B)
principle of resolution of forces
C)
principle of transmissibility of forces
D)
None of the above

Correct Answer :   principle of resolution of forces

A)
output to the input
B)
load lifted to the effort applied
C)
distance moved by effort to the distance moved by load
D)
All of the above

Correct Answer :   load lifted to the effort applied

A)
less than
B)
equal to
C)
greater than
D)
None of the above

Correct Answer :   less than

A)
equal to
B)
less than
C)
greater than
D)
None of the above

Correct Answer :   greater than

A)
elastic bodies
B)
inelastic bodies
C)
neither elastic nor inelastic bodies
D)
None of the above

Correct Answer :   elastic bodies

A)
equal to
B)
less than
C)
greater than
D)
None of the above

Correct Answer :   equal to

A)
30°
B)
45°
C)
60°
D)
90°

Correct Answer :   45°

A)
algebraic sum of the vertical components of all the forces should be zero
B)
algebraic sum of moments of all the forces about any point should be zero
C)
algebraic sum of the horizontal components of all the forces should be zero
D)
All of the above

Correct Answer :   All of the above

A)
equal to one
B)
less than one
C)
greater than one
D)
None of the above

Correct Answer :   greater than one

A)
12 N
B)
9.8 N
C)
8.9 N
D)
7.8 N

Correct Answer :   9.8 N

A)
area of contact only
B)
nature of surface only
C)
Both (A) and (B)
D)
None of the above

Correct Answer :   nature of surface only

A)
mv²
B)
mgv²
C)
0.5 mv²
D)
0.5 mgv²

Correct Answer :   0.5 mv²

97 .
In a framed structure, as shown in the below figure, the forces in the members AB and BC are respectively
A)
√3 w (tensile) and 2W (compressive)
B)
2W(tensile) and √3 w (compressive)
C)
2√3 w (tensile) and 2√3 w (compressive)
D)
None of the above

Correct Answer :   √3 w (tensile) and 2W (compressive)

A)
m⁴
B)
kg-m²
C)
kg/m²
D)
kg-m-s²

Correct Answer :   m⁴

A)
simple pendulum
B)
compound pendulum
C)
torsional pendulum
D)
second's pendulum

Correct Answer :   second's pendulum

A)
coplaner concurrent forces
B)
unlike parallel forces
C)
like parallel forces
D)
coplaner non-concurrent forces

Correct Answer :   like parallel forces

A)
8r/3
B)
3r/ 8
C)
3r/4Ï€
D)
4r/ 3Ï€

Correct Answer :   4r/ 3Ï€

A)
ideal
B)
reversible
C)
non-reversible
D)
None of the above

Correct Answer :   reversible

103 .
In a framed structure, as shown in the below figure, the force in the member BC is
A)
W/√3 (tension)
B)
2W/√3 (tension)
C)
W/√3 (compression)
D)
2W/√3 (compression)

Correct Answer :   2W/√3 (tension)

A)
equal to
B)
less than
C)
greater than
D)
None of the above

Correct Answer :   equal to

A)
equal to
B)
less than
C)
greater than
D)
None of the above

Correct Answer :   equal to

A)
W sin θ
B)
W cos θ
C)
W tan θ
D)
None of the above

Correct Answer :   W tan θ

A)
a⁴/16
B)
a⁴/12
C)
a³/12
D)
a²/8

Correct Answer :   a⁴/12

A)
Ï€N/60
B)
2Ï€N/60
C)
Ï€N/180
D)
2Ï€N/180

Correct Answer :   2Ï€N/60

109 .
A circular hole of 50 mm diameter is cut out from a circular disc of 100 mm diameter as shown in the below figure. The centre of gravity of the section will lie
A)
at O
B)
in the hole
C)
in the shaded area
D)
None of the above

Correct Answer :   in the shaded area

A)
ωr
B)
ω
C)
ω/r
D)
ω²r

Correct Answer :   ωr

111 .
A body of mass m moving with a constant velocity v strikes another body of same mass m moving with same velocity but in opposite direction. The common velocity of both the bodies after collision is
A)
v
B)
2v
C)
4v
D)
8v

Correct Answer :   2v

A)
kg-m
B)
joule
C)
watt
D)
horsepower

Correct Answer :   watt

A)
2 P cot θ /2
B)
2 P tan θ /2
C)
2 P sin θ /2
D)
2 P cos θ /2

Correct Answer :   2 P cos θ /2

A)
mass
B)
weight
C)
momentum
D)
impulsive force

Correct Answer :   weight

A)
meet at one point and their lines of action also lie on the same plane
B)
meet at one point, but their lines of action do not lie on the same plane
C)
do not meet at one point, but their lines of action lie on the same plane
D)
do not meet at one point and their lines of action do not lie on the same plane

Correct Answer :   meet at one point and their lines of action also lie on the same plane

A)
T.ω (in watts)
B)
T.ω/60 (in watts)
C)
T.ω/75 (in kilowatts)
D)
T.ω/4500 (in kilowatts)

Correct Answer :   T.ω (in watts)

A)
4
B)
8
C)
16
D)
20

Correct Answer :   16

A)
work is done by a force of 1 kg when it displaces a body through 1 m
B)
work is done by a force of 1 g when it displaces a body through 1 cm
C)
work is done by a force of 1 dyne when it displaces a body through 1 cm
D)
work is done by a force of 1 N when it displaces a body through 1m

Correct Answer :   work is done by a force of 1 N when it displaces a body through 1m

A)
2mr²/3
B)
2mr²/5
C)
7mr²/3
D)
7mr²/5

Correct Answer :   7mr²/5

120 .
The velocity ratio for the first system of pulleys is(where n is the number of pulleys.)
A)
n
B)
n<sup>2</sup>
C)
2<sup>n</sup>
D)
2<sup>n</sup> - 1

Correct Answer :   2<sup>n</sup>

A)
weight of the vehicle
B)
(velocity)² of the vehicle
C)
nature of the road surface
D)
coefficient of friction between the road and vehicle contact point

Correct Answer :   (velocity)² of the vehicle

A)
mr²/2
B)
mr²/4
C)
mr²/6
D)
mr²/8

Correct Answer :   mr²/2

A)
ω/r
B)
ω.r
C)
ω²/r
D)
ω².r

Correct Answer :   ω.r

A)
same as
B)
twice
C)
thrice
D)
four times

Correct Answer :   four times

A)
0.8r
B)
0.7r
C)
0.6r
D)
0.5r

Correct Answer :   0.6r

A)
m
B)
1 / m
C)
1 - m
D)
1 + m

Correct Answer :   1 / m

A)
reversible machine
B)
ideal machine
C)
non-reversible machine
D)
neither reversible nor non-reversible machine

Correct Answer :   reversible machine

128 .
Moment of inertia of a triangular section of base (b) and height (h) about an axis passing through its vertex and parallel to the base, is __________ than that passing through its C.G. and parallel to the base.
A)
nine times
B)
six times
C)
four times
D)
two times

Correct Answer :   nine times

A)
100%
B)
between 80 and 90%
C)
between 70 and 80%
D)
between 60 and 70%

Correct Answer :   100%

A)
kinetic energy
B)
chemical energy
C)
electrical energy
D)
potential energy

Correct Answer :   potential energy

A)
zero
B)
minimum
C)
maximum
D)
None of the above

Correct Answer :   zero

A)
equal to
B)
less than
C)
greater than
D)
either (B) or (C)

Correct Answer :   either (B) or (C)

A)
a = α/ r
B)
a = α.r
C)
a = r / α
D)
None of the above

Correct Answer :   a = α.r

A)
varies from point to point
B)
is maximum in the start and minimum at the end
C)
is constant at every instant
D)
is minimum in the start and maximum at the end

Correct Answer :   is constant at every instant

A)
mr²/2
B)
mr²/4
C)
mr²/6
D)
mr²/8

Correct Answer :   mr²/2

A)
P = W cos (α + φ)
B)
P = W tan (α - φ)
C)
P = W tan (α + φ)
D)
P = W tan (φ - α)

Correct Answer :   P = W tan (α + φ)

A)
less than 50%
B)
equal to 50%
C)
greater than 50%
D)
100%

Correct Answer :   less than 50%

A)
Superposition law
B)
Newton’s first law of motion
C)
Newton’s second law of motion
D)
Newton’s third law of motion

Correct Answer :   Newton’s first law of motion


Explanation : Newton’s first law asserts that if a body is at rest or moving in a straight path at a constant speed, it will remain at rest or continue to move in a straight line at a constant speed until acted upon by a force.

A)
Magnitude of force
B)
Point of application of force
C)
Direction of application of force
D)
All of the above

Correct Answer :   All of the above


Explanation : Three important quantities that define force are :

i) The magnitude of the force
ii) The direction of application of force
iii) Point of application of force

A)
They are collinear
B)
They are equal in magnitude
C)
They are opposite in direction
D)
All of the above

Correct Answer :   All of the above


Explanation : Two forces are said to be in equilibrium only if the forces are equal in magnitude, opposite in direction, and are collinear. This is equilibrium law.

A)
bh³/4
B)
bh³/8
C)
bh³/12
D)
bh³/36

Correct Answer :   bh³/36

142 .
Which of the following is an equation of linear motion?(where, u and v = Initial and final velocity of the body, a = Acceleration of the body, and s = Displacement of the body in time t seconds.)
A)
v = u + a.t
B)
v² = u²+2a.s
C)
s = u.t + 1/2 a.t²
D)
All of the above

Correct Answer :   All of the above

A)
stable
B)
unstable
C)
neutral
D)
None of the above

Correct Answer :   unstable

A)
πd⁴/32
B)
πd³/32
C)
πd³/16
D)
πd⁴/64

Correct Answer :   Ï€d⁴/32

A)
N-m
B)
m/s
C)
rad/s²
D)
m/s²

Correct Answer :   rad/s²

A)
downward at its upper end
B)
upward at its upper end
C)
towards the wall at its upper and
D)
away from the wall at its upper end

Correct Answer :   upward at its upper end

A)
101cm
B)
100cm
C)
94.9cm
D)
99.4cm

Correct Answer :   99.4cm

A)
angle of repose
B)
angle of friction
C)
angle of banking
D)
None of the above

Correct Answer :   angle of banking

A)
9cm⁴
B)
12cm⁴
C)
16cm⁴
D)
20cm⁴

Correct Answer :   16cm⁴

A)
work
B)
force
C)
power
D)
velocity

Correct Answer :   work

151 .
A spherical body is symmetrical about its perpendicular axis. According to Routh's rule, the moment of inertia of a body about an axis passing through its centre of gravity is(where, M = Mass of the body, and S = Sum of the squares of the two semi-axes.)
A)
MS/3
B)
MS/4
C)
MS/5
D)
None of the above

Correct Answer :   MS/5

152 .
The three forces of 100 N, 200 N and 300 N have their lines of action parallel to each other but act in the opposite directions. These forces are known as
A)
like parallel forces
B)
unlike parallel forces
C)
coplaner concurrent forces
D)
coplaner non-concurrent forces

Correct Answer :   unlike parallel forces

A)
output to the input
B)
mechanical advantage to the velocity ratio
C)
work done by the machine to the work done on the machine
D)
All of the above

Correct Answer :   All of the above

A)
1/m
B)
m/V.R.
C)
V.R./m
D)
1/(m x V.R.)

Correct Answer :   1/(m x V.R.)

A)
Force that has the same effect as one force
B)
Force that has the same effect as the two forces
C)
Force that maintains the system in equilibrium
D)
Force that has the highest magnitude in the system

Correct Answer :   Force that has the same effect as the two forces


Explanation : When two forces act on a body, the resultant of those two forces is taken into account. The effect of the resulting force is the same as the effect of the two forces. The force that has the same impact as the two forces is known as the resultant of two forces.

A)
Moment of inertia
B)
The surface of the body
C)
Center of gravity of the body
D)
The centroid of the body

Correct Answer :   Center of gravity of the body


Explanation : The centre of gravity of the body is the point of application where the complete weight of the body is thought to be concentrated.

A)
It’s a sketch of a body in motion that shows bending forces of the body
B)
It’s a sketch of an undisturbed body that shows external forces of the body
C)
It’s a sketch of a moving body that shows internal forces of the body and reaction forces
D)
It’s a sketch of an isolated body that shows external forces of the body and reaction forces

Correct Answer :   It’s a sketch of an isolated body that shows external forces of the body and reaction forces


Explanation : A free-body diagram is a drawing of an isolated body that depicts external forces operating on it as well as reaction forces imposed by removing parts.

A)
Compression force
B)
Impact force
C)
Gravity force
D)
Bending force

Correct Answer :   Compression force


Explanation : Internal forces are forces that act between elements of a structure. The internal force is the compression force. Compression is the force that squeezes the particles of an item together.

A)
It is an active force
B)
Not a self-adjusting force
C)
Always acts in the direction of applied force
D)
Always acts in the direction opposite to the applied force

Correct Answer :   Always acts in the direction opposite to the applied force


Explanation : A resistive force is created when one body slides over another. Frictional force is the name for this opposing force. It works in the opposite direction of the applied force.

A)
zero
B)
one
C)
more than one
D)
between zero and one

Correct Answer :   zero

A)
second moment of area
B)
second moment of mass
C)
second moment of force
D)
All of the above

Correct Answer :   All of the above

A)
the point of suspension
B)
the same as centre of gravity
C)
the point of application of the resultant of all the forces tending to cause a body to rotate about a certain axis
D)
None of the above

Correct Answer :   the same as centre of gravity

A)
Static friction
B)
Dry friction
C)
Fluid friction
D)
Dynamic friction

Correct Answer :   Static friction


Explanation : The frictional force that emerges when there is no relative motion between the contacting surfaces is known as static friction.

A)
Lubrication
B)
Friction
C)
Internal forces
D)
Attraction force

Correct Answer :   Friction


Explanation : Frictional force is the resistive force that is created when the surfaces of two bodies come into contact. Various lubrication strategies are used to reduce friction.

A)
Area of contact
B)
Surface roughness
C)
Reaction of surface
D)
Force tending cause motion

Correct Answer :   Area of contact


Explanation : Friction is a resistive force that acts on a body regardless of the size of the contact area between the surfaces.

A)
75mm
B)
50mm
C)
125mm
D)
87.5mm

Correct Answer :   87.5mm

A)
sense of angular displacement
B)
direction of the axis of rotation
C)
magnitude of angular displacement
D)
All of the above

Correct Answer :   All of the above

A)
A path, traced by a projectile in the space, is known as trajectory.
B)
The velocity with which a projectile is projected, is known as the velocity of projection.
C)
The angle, with the horizontal, at which a projectile is projected is known as angle of projection.
D)
All of the above

Correct Answer :   All of the above

A)
Q = 2R
B)
P = Q
C)
Q = R
D)
None of the above

Correct Answer :   Q = R

A)
1 N-m
B)
0.1 N-m
C)
10 N-m
D)
100 N-m

Correct Answer :   1 N-m

A)
power is being transmitted
B)
work is said to be done
C)
body has kinetic energy of translation
D)
None of the above

Correct Answer :   work is said to be done

A)
g sin θ
B)
g cos θ
C)
g tan θ
D)
None of the above

Correct Answer :   g sin θ

A)
be completely at rest
B)
rotate about itself without moving
C)
move in any one direction rotating about itself
D)
All of the above

Correct Answer :   All of the above

A)
The resultant’s magnitude is zero
B)
The resultant’s magnitude is greatest
C)
The resultant of two forces is represented by the third side in reverse order
D)
The resultant of two forces is represented by the third side in the same sequence

Correct Answer :   The resultant of two forces is represented by the third side in reverse order


Explanation : If two forces act concurrently on a particle and are represented by two sides of a triangle taken in order, the resultant is represented by the third side taken in reverse order, according to the Triangle Law of Forces.

A)
Inversely proportional to the sine of the angle between the other two forces
B)
Directly proportional to the sine of the angle between the other two forces
C)
Directly proportional to the cosine of the angle between the other two forces
D)
Inversely proportional to the cosine of the angle between the other two forces

Correct Answer :   Directly proportional to the sine of the angle between the other two forces


Explanation : If three concurrent forces act on a body, each force is proportional to the sine of the angle between the other forces, according to Lami’s theorem.

A)
Mass
B)
Volume
C)
Density
D)
Acceleration

Correct Answer :   Acceleration


Explanation : The only thing that determines a scalar quantity is its magnitude. Vector quantities are those that are affected by both magnitude and direction. The magnitude and direction of acceleration are both defined.

A)
sin θ
B)
cos θ
C)
tan θ
D)
cosec θ

Correct Answer :   sin θ

179 .
The range of projectile on a downward inclined plane is __________ the range on upward inclined plane for the same velocity of projection and angle of projection.
A)
equal to
B)
less than
C)
more than
D)
None of the above

Correct Answer :   more than

180 .
A body of weight W is required to move up on rough inclined plane whose angle of inclination with the horizontal is α. The effort applied parallel to the plane is given by(where μ = tanφ = Coefficient of friction between the plane and the body.)
A)
P = W tanα
B)
P = W tan(α + φ)
C)
P = W (sinα + μcosα)
D)
P = W (cosα + μsinα)

Correct Answer :   P = W (sinα + μcosα)

A)
30°
B)
60°
C)
90°
D)
120°

Correct Answer :   120°

A)
D + d
B)
D / d
C)
D - d
D)
D x d

Correct Answer :   D / d

A)
dyne
B)
watt
C)
newton
D)
kilogram

Correct Answer :   newton

A)
2mr²/5
B)
3mr²/5
C)
3mr²/10
D)
4mr²/5

Correct Answer :   3mr²/10

A)
zero at its upper end
B)
upward at its upper end
C)
downward at its upper end
D)
perpendicular to the wall at its upper end

Correct Answer :   zero at its upper end

A)
Minimum when acting at the body’s centre of gravity
B)
Maximum when acting at the body’s centre of gravity
C)
Different at various locations along its line of action
D)
The same at all points along its line of action

Correct Answer :   The same at all points along its line of action


Explanation : The point of application of a force can be conveyed along its line of action without modifying the force’s impact on the rigid body to which it is applied, according to the theorem of transmissibility of a force. Every point along its path of action is the same.

A)
The difference between the components moments at the same centre
B)
The algebraic sum of the moments of the components to the same centre
C)
The difference in component moments with respect to a different centre
D)
The algebraic sum of the moments of the components to a different centre

Correct Answer :   The algebraic sum of the moments of the components to the same centre


Explanation : The moment of the resultant of two concurrent forces to a location in their plane is equal to the algebraic sum of the moments of the components to the same centre, according to the varignon theorem in mechanics.

A)
If the resultant is maximal
B)
If the point of application of force is along the line of action
C)
If the point of application of force is opposing the line of action
D)
If the moment of centre is shifted along a line perpendicular to the line of action

Correct Answer :   If the point of application of force is along the line of action


Explanation : If the point of application of force is transported along the line of action and the moment of the centre is moved down a line parallel to the line of action of force, the magnitude of the moment remains unchanged. The magnitude is unaffected in either instance.

A)
Parallel
B)
Non-Parallel
C)
Concurrent
D)
Non-concurrent

Correct Answer :   Concurrent


Explanation : The concurrent forces are those that are in contact with the rotation axis in some way. If any of the forces are in contact with that axis, they are either ignored or inadequate to create a rotation. When a force is contemporaneous, its perpendicular distance from an axis line is 0, implying that there is no rotation. An instant, as we all know, causes rotation.

A)
Radius and Force vectors
B)
Radius and Force scalars
C)
Force and Radius scalars
D)
Force and Radius vectors

Correct Answer :   Radius and Force vectors


Explanation : The cross-product must be created in the correct order. If no action is taken, the result is the polar opposite of the genuine result. As a result, the answer is the Radius and Force vectors, not the Force and Radius vectors. Because the moment, like many of the cross products, has a sense of direction, vigilance is required.

A)
centre of gravity
B)
centre of mass
C)
moment of inertia
D)
centre of percussion

Correct Answer :   centre of gravity

A)
Force
B)
Speed
C)
Velocity
D)
Acceleration

Correct Answer :   Speed

193 .
The rate of change of momentum is directly proportional to the impressed force, and takes place in the same direction in which the force acts. This statement is known as
A)
Newton's first law of motion
B)
Newton's second law of motion
C)
Newton's third law of motion
D)
None of the above

Correct Answer :   Newton's second law of motion

A)
Truss
B)
The whole structure
C)
Joints
D)
Combination of joint and the whole structure

Correct Answer :   Joints


Explanation : The method of joints is used in the free body diagram of joints part of the truss section. To perform the calculations, many equilibrium equations are used. In the vertical direction, the net force is set to zero. Forces in the horizontal direction are also made to be zero.

A)
Truss
B)
Joints
C)
The whole structure
D)
Any section can be used

Correct Answer :   Any section can be used


Explanation : The method of sections is used to create a free body diagram of any element of the truss section. To perform the calculations, many equilibrium equations are used. In the vertical direction, the net force is set to zero. In addition, horizontal direction forces have been set to zero.

A)
+8.9 m/s²
B)
-8.9 m/s²
C)
+9.8 m/s²
D)
-9.8 m/s²

Correct Answer :   +9.8 m/s²

197 .
A framed structure, as shown in the below figure, is a
A)
perfect frame
B)
deficient frame
C)
redundant frame
D)
None of the above

Correct Answer :   perfect frame

A)
momentum
B)
velocity
C)
acceleration
D)
None of the above

Correct Answer :   velocity

A)
Machines
B)
Truss
C)
Beam
D)
Frames

Correct Answer :   Machines


Explanation : The machines are constructed in such a way that the moving parts are contained. Machines are built to have moving parts since they are used in a variety of fields. They’re also made in such a way that the working bits within aren’t damaged.

A)
Total weight
B)
Bending moment
C)
Rotational moment
D)
Area under the shear diagram

Correct Answer :   Area under the shear diagram


Explanation : After the application of the force equation of equilibrium to the segment of the beam, we have the above result. This is done on the very small part of the beam. That is the minimal section of the beam is to be considered and then the application of the equilibrium equations is done so as to calculate the final result.

A)
α = 90° + φ
B)
α = 90° - φ
C)
α = 45° + φ/2
D)
α = 45° - φ/2

Correct Answer :   α = 45° - φ/2

A)
π/ω
B)
2π/ω
C)
ω/2π
D)
2π x ω

Correct Answer :   2Ï€/ω

A)
Force and Radius vectors
B)
Force and Radius scalars
C)
Radius and Force vectors
D)
Radius and Force scalars

Correct Answer :   Radius and Force vectors


Explanation : The cross-product must be created in the correct order. If no action is taken, the result is the polar opposite of the genuine result. As a result, the answer is the Radius and Force vectors, not the Force and Radius vectors. Because the moment, like many of the cross products, has a sense of direction, vigilance is required.

A)
Vertically Upward
B)
Vertically Downward
C)
Horizontally Left
D)
Horizontally Right

Correct Answer :   Vertically Upward


Explanation : Because the loads are acting in a downward direction. The normal forces act in a vertically upward fashion to balance the forces. Dry friction occurs when there is no lubricating fluid present between the surfaces in contact, as we all know. The magnitude of friction is subtracted from the normal forces.

A)
dynamic friction
B)
static friction
C)
rolling friction
D)
limiting friction

Correct Answer :   dynamic friction

A)
Non-rigid
B)
Coloured red
C)
Having density in negative
D)
The motion of that block is always horizontal

Correct Answer :   Non-rigid


Explanation : A deformable surface is a block used to teach the theory of friction. Dry friction occurs when there is no lubricating fluid present between the surfaces in contact, according to the theory of friction. As a result, to demonstrate that the same tests can be performed on a non-rigid/deformable surface.

A)
Agree
B)
Disagree
C)
Both (A) and (B)
D)
None of the above

Correct Answer :   Agree

A)
Round-threaded
B)
Helical-threaded
C)
Square-threaded
D)
Rectangle-threaded

Correct Answer :   Square-threaded


Explanation : In the machines, square threaded screws are employed. Because screws are commonly employed as fasteners. The fundamental benefit of screws is that the friction aids in the structure’s retention. Screws also aid in the fast and efficient joining of the structure.

A)
Correct
B)
Incorrect
C)
Both (A) and (B)
D)
Neither (A) nor (B)

Correct Answer :   Incorrect


Explanation : Coefficient of restitution for elastic bodies is 0 - 1.

Coefficient of restitution for perfect elastic bodies is 1.