240+ Engineering Mechanics Solved MCQs

1.

If three forces acting at a point be represented in magnitude and direction by the three sides of a triangle, taken in order, the forces shall be in equilibrium.

A. TRUE
B. False
Answer» A. TRUE
2.

In order to double the period of simple pendulum, the length of the string should be

A. halved
B. doubled
C. quadrupled
Answer» C. quadrupled
3.

The unit of angular acceleration is

A. N - m
B. m / s
C. m / s2
D. rad / s2
Answer» D. rad / s2
4.

The loss of kinetic energy due to direct impact of two bodies

A. depends
B. does not depend
Answer» A. depends
5.

If a given force (or a given system of forces) acting on a body

A. change
B. does not change
Answer» B. does not change
6.

For any system of coplaner forces, the condition of equilibrium is that the

A. algebraic sum of the horizontal components of all the forces should be zero
B. algebraic sum of the vertical components of all the forces should be zero
C. algebraic sum of moments of all the forces about any point should be zero
D. all of the above
Answer» D. all of the above
7.

In a single threaded worm and worm wheel, the number of teeth on the worm is 50. The diameter of the effort wheel is 100 mm and that of load drum is 50 mm. The velocity ratio is

A. 50
B. 100
C. 150
D. 200
Answer» B. 100
8.

In actual machines, mechanical advantage is

A. equal to
B. less than
C. greater than
Answer» B. less than
9.

The angle of inclination of the plane at which the body begins to move down the plane, is called

A. angle of friction
B. angle of repose
C. angle of projection
D. none of these
Answer» A. angle of friction
10.

The minimum force required to slide a body of weight W on a rough horizontal plane is

A. W sin ?
B. W cos ?
C. W tan ?
D. none of these
Answer» C. W tan ?
11.

The range of projectile on a downward inclined plane is

A. less than
B. more than
C. equal to
Answer» B. more than
12.

The forces, whose lines of action are parallel to each other and act in the same directions, are known as

A. coplaner concurrent forces
B. coplaner non-concurrent forces
C. like parallel forces
D. unlike parallel forces
Answer» C. like parallel forces
13.

The distance, between the point of projection and the point where the projectile strikes the ground, is known as range.

A. Correct
B. Incorrect
Answer» A. Correct
14.

If tension in the cable supporting a lift moving downwards is half the tension when it is moving upwards, the acceleration of the lift is

A. g / 2
B. g / 3
C. g / 4
D. none of these
Answer» D. none of these
15.

The impact between two lead spheres is approximately equal to an

A. elastic
B. inelastic
Answer» B. inelastic
16.

The angle of the inclined plane at which a body just begins to slide down the plane, is called helix angle.

A. True
B. False
Answer» B. False
17.

The total energy possessed by a system of moving bodies

A. is constant at every instant
B. varies from point to point
C. is maximum in the start and minimum at the end
D. is minimum in the start and maximum at the end
Answer» A. is constant at every instant
18.

Moment of inertia of a circular section about an axis perpendicular to the section is

A. ?d3 / 16
B. ?d3 / 32
C. ?d4 / 32
D. ?d4 / 64
Answer» C. ?d4 / 32
19.

A couple produces

A. translatory motion
B. rotational motion
C. combined translatory and rotational motion
D. none of the above
Answer» B. rotational motion
20.

A non-reversible machine is also called a self-locking machine

A. Agree
B. Disagree
Answer» A. Agree
21.

A body will begin to move down an inclined plane if the angle of inclination of the plane is

A. equal to
B. less than
C. greater than
Answer» C. greater than
22.

Which of the following statement is wrong?

A. A force acting in the opposite direction to the motion of the body is called force of friction.
B. The ratio of the limiting friction to the normal reaction is called coefficient of friction.
C. A machine whose efficiency is 100% is known as an ideal machine.
D. The velocity ratio of a machine is the ratio of load lifted to the effort applied.
Answer» D. The velocity ratio of a machine is the ratio of load lifted to the effort applied.
23.

When a rigid body is suspended vertically, and it oscillates with a small amplitude under the action of the force of gravity, the body is known as

A. simple pendulum
B. compound pendulum
C. torsional pendulum
D. second's pendulum
Answer» B. compound pendulum
24.

A smooth cylinder lying on its convex surface remains in

A. stable
B. unstable
C. neutral
Answer» B. unstable
25.

A machine having an efficiency less than 50%, is known as

A. reversible machine
B. non-reversible machine
C. neither reversible nor non-reversible machine
D. ideal machine
Answer» B. non-reversible machine
26.

A framed structure is perfect, if the number of members are

A. equal to
B. less than
C. greater than
D. either (b) or (c)
Answer» A. equal to
27.

A ladder is resting on a rough ground and leaning against a smooth vertical wall. The force of friction will act

A. downward at its upper end
B. upward at its upper end
C. zero at its upper end
D. perpendicular to the wall at its upper end
Answer» C. zero at its upper end
28.

All the steel trusses of the bridges, have one of their end roller supported, and other end hinged. The main advantage of such a support is that the truss remains stable.

A. True
B. False
Answer» A. True
29.

The force required to move the body up the plane will be minimum if it makes an angle with the inclined plane

A. equal to
B. less than
C. greater than
Answer» A. equal to
30.

One watt is equal to

A. 0.1 joule / s
B. 1 joule / s
C. 10 joules / s
D. 100 joules / s
Answer» B. 1 joule / s
31.

Vectors method for the resultant force is also called polygon law of forces.

A. Correct
B. Incorrect
Answer» A. Correct
32.

The acceleration of a particle moving with simple harmonic motion, at any instant is given by

A. ?.y
B. ?2.y
C. ?2/y
D. ?3.y
Answer» B. ?2.y
33.

The power developed by a body acted upon by a torque T newton metre (N - m) and revolving at ? radian / s is given by

A. T.? (in watts)
B. T.? / 60 (in watts)
C. T.? / 75 (in kilowatts)
D. T.? / 4500 (in kilowatts)
Answer» A. T.? (in watts)
34.

The centre of gravity of a hemisphere lies at a distance of 3r / 8 from its base measured along the vertical radius.

A. Right
B. Wrong
Answer» A. Right
35.

The friction experienced by a body, when at rest, is known as

A. static friction
B. dynamic friction
C. limiting friction
D. coefficient of friction
Answer» A. static friction
36.

The centre of percussion is below the centre of gravity of the body and is at a distance equal to

A. h / kG
B. h2 / kG
C. k2G / h
D. h x kG
Answer» C. k2G / h
37.

A smooth cylinder lying on a

A. curved surface
B. convex surface
C. horizontal surface
Answer» C. horizontal surface
38.

The unit of moment of inertia of an area is

A. kg-m2
B. kg-m-s2
C. kg/m2
D. m4
Answer» D. m4
39.

A machine which is capable of doing work in the reversed direction, after the effort is re-moved, is called a non-reversible machine.

A. Yes
B. No
Answer» B. No
40.

The force applied on a body of mass 100 kg to produce an acceleration of 5 m/s2, is

A. 20N
B. 100N
C. 500N
D. none of these
Answer» C. 500N
41.

A machine which is capable of doing any work in the reversed direction, after the effort is removed, is called a reversible machine.

A. True
B. False
Answer» B. False
42.

The velocity ratio of a simple wheel and axle with D and d as the diameters of effort wheel and load axle, is

A. D + d
B. D - d
C. D x d
D. D / d
Answer» D. D / d
43.

The centre of oscillation and centre of suspension for a compound pendulum are interchangeable.

A. True
B. False
Answer» A. True
44.

The term 'force' may be defined as an agent which produces or tends to produce, destroys or tends to destroy motion

A. Agree
B. Disagree
Answer» A. Agree
45.

The acceleration of a particle moving with simple harmonic motion is proportional to the displacement of the particle from the mean position.

A. True
B. False
Answer» A. True
46.

When a particle moves along a circular path, its acceleration has two components, one is normal component and the other is tangential component of acceleration

A. True
B. False
Answer» A. True
47.

If the resultant of two equal forces has the same magnitude as either of the forces, then angle between the two forces is

A. 30?
B. 60?
C. 90?
D. 120?
Answer» D. 120?
48.

The motion of a particle round a fixed axis is

A. translatory
B. rotary
C. circular
D. translatory as well as rotatry
Answer» C. circular
49.

According to Newton's first law of motion,

A. 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
B. 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
C. to every action, there is always an equal and opposite reaction
D. none of the above
Answer» A. 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
50.

Two equal and opposite parallel forces whose lines of action are different, can be replaced by a single force parallel to the given forces

A. Correct
B. Incorrect
Answer» B. Incorrect
51.

Non-coplaner non-concurrent forces are those forces which

A. meet at one point, but their lines of action do not lie on the same plane
B. do not meet at one point and 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. none of the above
Answer» B. do not meet at one point and their lines of action do not lie on the same plane
52.

A machine having an efficiency greater than 50%, is known as

A. reversible machine
B. non-reversible machine
C. neither reversible nor non-reversible machine
D. ideal machine
Answer» A. reversible machine
53.

The time taken by a particle for one complete oscillation is known as periodic time.

A. Agree
B. Disagree
Answer» A. Agree
54.

The centre of gravity of a right circular solid cone is at a distance of

A. h / 2
B. h / 3
C. h / 4
D. h / 6
Answer» C. h / 4
55.

In order to determine the effects of a force, acting on a body, we must know

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
Answer» D. all of the above
56.

The ratio of static friction to dynamic friction is always

A. equal to one
B. less than one
C. greater than one
D. none of these
Answer» C. greater than one
57.

Two equal and opposite parallel forces whose lines of action are different form a couple.

A. Right
B. Wrong
Answer» A. Right
58.

The range of a projectile is maximum, when the angle of projection is

A. 30?
B. 45?
C. 60?
D. 90?
Answer» B. 45?
59.

The mechanical advantage of a lifting machine is the ratio of

A. distance moved by effort to the distance moved by load
B. load lifted to the effort applied
C. output to the input
D. all of the above
Answer» B. load lifted to the effort applied
60.

Moment of inertia of a circular section about its diameter (d) is

A. ?d3 / 16
B. ?d3 / 32
C. ?d4 / 32
D. ?d4 / 64
Answer» D. ?d4 / 64
61.

The total motion possessed by a body, is called

A. impulsive force
B. mass
C. weight
D. momentum
Answer» D. momentum
62.

Which of the following are vector quantities?

A. Linear displacement
B. Linear velocity
C. Linear acceleration
D. all of these
Answer» D. all of these
63.

The radius of gyration is the distance where the whole mass (or area) of a body is assumed to be concentrated.

A. Correct
B. Incorrect
Answer» A. Correct
64.

A weight of 1000 N can be lifted by an effort of 80 N. If the velocity ratio is 20, the machine is

A. reversible
B. non-reversible
C. ideal
Answer» A. reversible
65.

A lifting machine lifts a load of 1000N through a distance of 0.2 m by means of an effort of 200N through a distance of 1m. This machine is an ideal one.

A. Right
B. Wrong
Answer» A. Right
66.

The velocity ratio of a single purchase crab winch can be increased by

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
Answer» A. increasing the length of the handle
67.

When two elastic bodies collide with each other,

A. the two bodies will momentarily come to rest after collision
B. the two bodies tend to compress and deform at the surface of contact
C. the two bodies begin to regain their original shape
D. all of the above
Answer» D. all of the above
68.

Moment of inertia is the

A. second moment of force
B. second moment of area
C. second moment of mass
D. all of these
Answer» D. all of these
69.

The force which acts along the radius of a circle and directed away from the centre of the circle is called centrifugal force

A. Agree
B. Disagree
Answer» A. Agree
70.

When a person, on a bicycle, drives round a curve, he has to lean

A. inward
B. outward
Answer» A. inward
71.

The bodies which rebound after impact are called

A. inelastic bodies
B. elastic bodies
C. neither elastic nor inelastic bodies
D. none of these
Answer» B. elastic bodies
72.

If the number of pulleys in a system is equal to its velocity ratio, then it is a

A. first
B. second
C. third
Answer» B. second
73.

The energy possessed by a body, for doing work by virtue of its position, is called

A. potential energy
B. kinetic energy
C. electrical energy
D. chemical energy
Answer» A. potential energy
74.

The matter contained in a body, is called

A. impulsive force
B. mass
C. weight
D. momentum
Answer» B. mass
75.

The motion of a wheel of a car is

A. purely translation
B. purely rotational
C. combined translation and rotational
D. none of these
Answer» C. combined translation and rotational
76.

The resultant of the two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then

A. P = Q
B. Q = R
C. Q = 2R
D. none of these
Answer» B. Q = R
77.

Moment of inertia of a triangular section of base (b) and height (h) about an axis through its base, is

A. bh3 / 4
B. bh3 / 8
C. bh3 / 12
D. bh3 / 36
Answer» C. bh3 / 12
78.

According to lami's theorem

A. the three forces must be equal
B. the three forces must be at 120? to each other
C. the three forces must be in equilibrium
D. if the three forces acting at a point are in equilibrium, then each force is proportional to the sine of the angle between the other two
Answer» D. if the three forces acting at a point are in equilibrium, then each force is proportional to the sine of the angle between the other two
79.

The centre of gravity of a rectangle lies at a point where its two diagonals meet each other.

A. Agree
B. Disagree
Answer» A. Agree
80.

A pendulum which executes one beat per second is known as

A. simple pendulum
B. compound pendulum
C. torsional pendulum
D. second's pendulum
Answer» D. second's pendulum
81.

The algebraic sum of the resolved parts of a number of forces in a given direction is equal to the resolved part of their resultant in the same direction. This is known as

A. principle of independence of forces
B. principle of resolution of forces
C. principle of transmissibility of forces
D. none of these
Answer» B. principle of resolution of forces
82.

Which of the fololowing statement is correct in connection with projectiles?

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
Answer» D. all of the above
83.

The angle of inclination with the vertical is

A. more
B. less
Answer» A. more
84.

The centre of gravity of an equilateral triangle with each side a, is

A. ?3 a/2
B. 2?3 a
C. a/2 ?3
D. 3?2 a
Answer» C. a/2 ?3
85.

In a screw jack, the effort required to lift the load is given by. Where W = Load lifted, ? = Helix angle, and ? = Angle of friction

A. P = W tan (? ? ?)
B. P = W tan (? + ?)
C. P = W tan (? - ?)
D. P = W tan (? + ?)
Answer» B. P = W tan (? + ?)
86.

Static friction is always

A. equal to
B. less than
C. greater than
Answer» C. greater than
87.

If a number of forces acting at a point be represented in magnidude and direction by the three sides of a triangle, taken in order, then the forces are not in equilibrium

A. Agree
B. Disagree
Answer» B. Disagree
88.

One joule means that

A. work is done by a force of 1 N when it displaces a body through 1 m
B. work is done by a force of 1 kg when it displaces a body through 1 m
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 g when it displaces a body through 1 cm
Answer» A. work is done by a force of 1 N when it displaces a body through 1 m
89.

The velocity ratio for the third system of pulleys is

A. n
B. n2
C. 2n
D. 2n - 1
Answer» D. 2n - 1
90.

A rubber ball is dropped from a height of 2 m. If there is no loss of velocity after rebounding, the ball will rise to a height of

A. 1 m
B. 2 m
C. 3 m
D. 4 m
Answer» B. 2 m
91.

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 these
Answer» B. twice the area of the triangle
92.

Moment of inertia of a triangular section of base (b) and height (h) about an axis passing through its C.G. and parallel to the base, is

A. bh3 / 4
B. bh3 / 8
C. bh3 / 12
D. bh3 / 36
Answer» D. bh3 / 36
93.

The triangle law of forces states that if two forces acting simultaneously on a particle, be represented in magnitude and direction by the two sides of a triangle taken in order, then their resultant may be represented in mangnitude and direction by the third side of of a triangle, taken in opposite order.

A. TRUE
B. FALSE
Answer» A. TRUE
94.

The friction experienced by a body, when in motion, is known as

A. rolling friction
B. dynamic friction
C. limiting friction
D. static friction
Answer» B. dynamic friction
95.

The forces, which do not meet at one point, but their lines of action lie on the same plane, are known as coplaner concurrent forces

A. Agree
B. Disagree
Answer» A. Agree
96.

A redundant frame is also called

A. perfect
B. imperfect
C. deficient
Answer» B. imperfect
97.

The process of finding out the resultant force is called

A. composition
B. resolution
Answer» A. composition
98.

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 balf
C. the change in momentum suffered by rubber ball is less than the lead ball
D. none of the above
Answer» B. the change in momentum suffered by rubber ball is more than the lead balf
99.

The centre of gravity of a semi-circle lies at a distance of

A. 3r/8
B. 4r/3?
C. 8r / 3
D. 3r / 4?
Answer» B. 4r/3?
100.

The velocity ratio of a first system of pulleys with 4 pulleys is

A. 4
B. 8
C. 16
D. 20
Answer» C. 16
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