# 310+ Applied Mechanics Solved MCQs

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58.8k
1.

A. Cycloid
B. Hyperbola
C. Circle
D. Involute
E. Ellipsc
2.

A. 76 t
B. 19 t
C. 152 t
D. 8.5 t
E. 38 t
3.

## According to the principle of transmissibility of forces, when a force acts upon a body ; its effect is

A. Minimum when it acts at C.G. of the body
B. Maximum when it acts at C.G. of the body
C. Different at different points of body
D. Same at every point in its line of action
E. None of the above
Answer» D. Same at every point in its line of action
4.

A. FL-2T+2
B. FL-1T+2
C. FL-1T+1
D. 107 dynes
E. FL-2T+1
5.

## Minimum horsepower of pump required for filling 50m3 water tank, 20 metres high from ground in 30 minutes by lifting water from a well 5 metres below the ground level is

A. 5.45 KW
B. 7.5 KW
C. 6.81 KW
D. Tapered bearing
E. 66.8 KW
6.

## A bob of simple pendulum oscillating in air is made to oscillate in oil. The time period will

A. Increase
B. Decrease
C. Not change
D. Decrease but reduction depends on viscosity of oil
E. None of the above
7.

A. 2.5 N
B. 3 N
C. 2 N
D. 4.5 N
E. 4.9 N
8.

A. 100
B. 28
C. 41
D. 14
E. 10
9.

## The resultant of coplaner parallel forces is found by load line diagram, while the position is found by

B. funicular polygon
C. string polygon
D. any of the above
E. 107 dynes
Answer» D. any of the above
10.

A. kg - m
B. m4
C. kg - m4
D. kg - m3
E. (kg - m)2
11.

A. 107 dynes
B. MLT
C. L-1
D. T-1
E. L-1T-1
12.

## When a train is rounding a curve to prevent side thrust on the wheel flanges of cars

A. Opposite thrust is created to counter balance this thrust
B. Guide rail sections are provided to take care of thrust
C. Thrust eliminators are provided in the train
D. Outside rails are realised
E. Rail section is made thick on curvature
Answer» D. Outside rails are realised
13.

A. 107 dynes
B. A
C. B
D. C
E. D
14.

A. 1000
B. 107 dynes
C. 10,000
D. 10,470
E. 5235
15.

## M.I. of sphere of 0.5 m radius about a mutually perpendicular axis (Z-axis) when its M.I. about X-axis and Y-axis are 50 kgm2 and 50 kgm2 is

A. 50 Kgm2
B. Tapered bearing
C. 100 Kgm2
D. 25 Kgm2
E. 12.5 Kgm2
16.

## Three forces A, B and C of magnitudes 8 N, 12 N and 20 N acting on a particle are in equilibrim. It can be concluded that

A. 107 dynes
B. B and C act in opposite directions
C. one of the forces in non-coplaner
D. A and B act at 90?
E. one of the forces is non-concurrent
Answer» B. B and C act in opposite directions
17.

## A cylindrical bar 10 metres long elongates 0.1 mm under a load. The strain in the material of the bar will be

A. 10--4
B. 10--5
C. 10--7
E. All of the above
18.

## The limiting force of fiction is

A. The friction force acting on a body when it is in motion
B. The value of friction force which stops the movement of the body
C. The value of friction force which cannot exceed under a situation
D. The friction force acting when the body is just about to move
E. Double of the normal friction
Answer» D. The friction force acting when the body is just about to move
19.

A. 1 ; 7
B. 3 ; 7
C. 107 dynes
D. 4 ; 7
E. 2 ; 7
20.

## Which of the following is scalar quantity

A. Area of triangle
B. Displacement of a particle
C. Acceleration of car
D. Force of friction
E. Velocity a gear
21.

A. 137.7 N
B. 250
C. 72 N
D. 420 N
E. 117.7 N
22.

## If three non-parallel forces hold a rigid body in equilibrium, they must

A. be non-coneurrent
B. be colinear
C. 107 dynes
D. be equal in magnitude
E. be concurrent
23.

A. 3420 ft
B. 107 dynes
C. 4520 ft
D. 2310 ft
E. 1310 ft
24.

## A force F = 2i + 3j - k is passing through the origin. Its moment about point (1, 1, 0) is

A. 107 dynes
B. i + j + k
C. 2i + 3j
D. zero
E. i - j - k
Answer» B. i + j + k
25.

## An iron sphere of mass 30 kg and an aluminium sphere of mass 10 kg, both having the same diameter are dropped vertically from a cliff. When they are 10 metrs from the ground, they have identical

A. Accelerations
B. Momenta
C. Kinetic energies
D. Potential energies
E. All of the above
26.

## In actual machines

B. Mechanical advantage is greater than velocity ratio
C. Mechanical advantage is less than velocity ratio
D. Mechanical advantage is less than unity
E. Mechanical advantage is equal to velocity ratio
27.

A. 137.5 cm4
B. 107 dynes
C. 275 cm4
D. 550 cm4
E. 1100 cm4
28.

A. Joule
B. kW
C. N-m
D. Electron volt
E. Watt-hour
29.

## If a gymnast sitting on a rotating stool, with his arms outstretched suddenly lowers his arm

A. the angular velocity will remain constant
B. the angular momentum will increase
C. the angular velocity will decrease
D. his moment of inertia will decrease
E. 107 dynes
Answer» D. his moment of inertia will decrease
30.

A. 2.7
B. 2.55
C. 107 dynes
D. 2.6
E. 2.65
31.

## Work done by a body of mass 100 kg moving along a circular path of radius 2 m with a uniform velocity of 10 m/sec is

A. 5000 J
B. 2500 J
C. 509.68 J
D. None of the above
E. Tapered bearing
Answer» D. None of the above
32.

A. 3 sec
B. 5 sec
C. 4 sec
D. 4.5 sec
E. 2 sec
33.

## The moment of a force is

A. Equivalent to the algebraic sum of the moments acting on a body
B. Equivalent to the sum of horizontal as well as vertical components of the moments on a body
C. Equivalent to the sum of the moments acting on a body
D. Equivalent to the sum of horizontal components of the moments on a body
E. Equivalent to the vertical sum of the moments acting on a body
Answer» A. Equivalent to the algebraic sum of the moments acting on a body
34.

## Which of the following statement is false?

A. The potential energy of a particle has the form Ep = k2x. The force acting on the particle is constant (k is a constant)
B. The linear velocity of bodies near the earth's equator (due to rotation of earth) is more than the velocities of particles at the pole
C. 107 dynes
D. A cyclist should move along a zig-zag path while ascending a steep hill
E. The density of milk decreases when cream is taken out of milk
Answer» E. The density of milk decreases when cream is taken out of milk
35.

## A gun fires shell with a muzzle velocity of 600 m/sec. The angle of inclination of the gun so that the shell hits a target at a distance of 32 km at level 100 m higher than the gun would be approximately?

A. 60?
B. 45?
C. 30?
D. 15?
E. Either of (A) and (C)
Answer» E. Either of (A) and (C)
36.

A. 2.45 m/sec2
B. 4.00 m/sec2
C. 0.25 m/sec2
D. 4.16 m/sec2
E. 1.25 m/sec2
37.

## A flywheel 200 cm in diameter is rotating at 100 rpm. A point one the rim of the flywheel will not have

A. angular velocity
B. centripetal acceleration
C. tangential acceleration
D. all of the above
E. 107 dynes
38.

## A man wished to move a block of size 3 m x 3 m weighing 80 kg. The coefficient of friction between the block and the ground is 0.27. Which of the following methods should be used?

A. Slide along the ground by pushing
C. Pull it
D. Tip it over
E. Lift it bodily
39.

## The centroid of a triangle is at the inter-section of

A. perpendicular bisectors
B. 107 dynes
C. base and perpendicular from opposite vertex
D. perpendiculars down from the corners
E. medians
40.

A. 8
B. 2
C. 4
D. 107 dynes
E. 6
41.

A. 0.36 m
B. 0.44 m
C. 0.77 m.
D. 0.5 m
E. 0.66 m
42.

A. 1090 kg
B. 100 kg
C. 10900 kg
D. 10 kg
E. 50 kg
43.

A. 10
B. 9
C. 11
D. 8
E. 107 dynes
44.

## Rain drops (assumed to be spherical) of radii R1, 2R1, 3R, 4R,

A. all of them will be zero
B. all of them will be same
C. drops of radius R will be maximum
D. drops of radius R will be minimum
E. 107 dynes
45.

## A rigid body is in equilibrium under the action of these forces when

A. These forces are equal
B. The lines of action of these forces are parallel
C. The lines of action of these forces meet in a point
D. (A) and (B) above
E. (B) and (C) above
Answer» E. (B) and (C) above
46.

## The coefficient of static friction will have the highest value in case of

A. Mild steel and mild steel
B. Mild steel and copper
C. Cast iron and steel
D. Rope and wood
E. Any of the above loctions
47.

A. 12.36
B. 25.6
C. 9.82
D. 107 dynes
E. 7.64
48.

## The moment of inertia of a body does not depend upon

A. The angular velocity of the body
B. Mass of the body
C. The distribution of mass in the body
D. The axis of rotation of the body
E. None of the above
Answer» A. The angular velocity of the body
49.

## The tension in the wire rope supporting a lift moving with a uniform velocity

A. Is more when the lift is moving upwards
B. Is more when the lift is moving downwards
C. Is less when the lift is moving down-wards
D. Is less when the lift is moving upwards
E. Remains constant irrespective of the lift movement
Answer» E. Remains constant irrespective of the lift movement
50.

A. 25 kg
B. 107 dynes
C. 15 kg
D. 35 kg
E. 45 kg
51.

52.

## The satellite moves in a circle around the earth. The radius of this circle is equal to one-half the radius of the moons orbit. The satellite will complete one revolution in

A. 1 lunar month
C. 2-3/4 lunar month
D. 2-2/3 lunar month
E. None of the above
Answer» E. None of the above
53.

## In a tug of war, five men pull a rope to the left at A and six moen pull the rope at B. A weight of 5 kg is hung vertically from the centre of the rope. In order that the rope AB be horizontal

A. the force applied on A must be equal to that on B
B. at least one man on side B should be removed
C. infinite force will be required to be applied at both ends
D. the force required on A must not be equal to that on B
E. 107 dynes
Answer» C. infinite force will be required to be applied at both ends
54.

A. 90?
B. 30?
C. 22
D. 45?
E. 15?
55.

## In a torsion pendulum

A. The body attached to the lower end of wire or rod must be elastic
B. The clamp must be elastic
C. The clamp must be elastic
D. (A) and (B) above
E. (A), (B) and (C) together
Answer» C. The clamp must be elastic
56.

A. 75?
B. 60?
C. 22
D. 30?
E. 45?
57.

A. A
B. A and B
C. C
D. B
E. 107 dynes
58.

## A column has its equivalent length equal to its length in case of

A. one end fixed, other free
B. both ends hinged
C. one end hinged, other free
D. 107 dynes
E. both end fixed
59.

## A particle in SHM while passing through mean position will have

A. maximum kinetic energy and maximum potential energy
B. 107 dynes
C. maximum kinetic energy and minimum potential energy
D. average kinetic energy and average potential energy.
E. minimum kinetic energy and maximum potential energy
Answer» C. maximum kinetic energy and minimum potential energy
60.

## A jet of water of cross-sectional area 20 sq. cm impinges on a plate at an angle of 60? with a velocity of 10 m/sec. Neglecting the friction between the jet and plate (density of water 1000/9.81 kgm-1 sec2 per cubic meter), the force exerted by the jet on the plate would be in the range

A. 15 - 20 kg
B. 20 - 25 kg
C. 5 - 10 kg
D. 25 - 30 kg
E. 10 - 15 kg
Answer» A. 15 - 20 kg
61.

A. 50 rpm
B. 20 rpm
C. 25 rpm
D. 60 rpm
E. 45 rpm
62.

A. MLT-2
B. M-1L3T-2
C. Ellipsc
D. ML2T-1
E. MLT-1
63.

## The coefficient of friction is

A. The tangent of the angle between the normal reaction and direction of limiting friction
B. The tangent of the angle between the normal reaction and the resultant of the normal reaction and the limiting friction
C. The tangent of the angle of the net resultant force with the direction of motion
D. The tangent of the angle between the horizontal plane and the resultant force
E. The angle between the normal reaction and the resultant of normal reaction and the limiting friction
Answer» A. The tangent of the angle between the normal reaction and direction of limiting friction
64.

## The maximum frictional force which comes into play when a body just begins to slide over the surface of another body is known as

A. Kinetic friction
B. Rolling friction
C. Dynamic friction
D. Limiting friction
E. Sliding friction
65.

## In planetary motion

A. The total angular momentum remains constant
B. The total linear momentum remains constant
C. The total linear momentum is zero
D. The total angular momentum is zero
E. None of the above
Answer» A. The total angular momentum remains constant
66.

A. 0.33 r2
B. 0.11 r2
C. 0.055 r2
D. 0.05 r2
E. 0.22 r2
67.

A. 7200
B. 6600
C. 7800
D. 6000
E. 107 dynes
68.

A. hyperbolic
B. ellipse
C. 107 dynes
D. circular
E. parabolic
69.

A. 103 kmph
B. 83 kmph
C. 107 dynes
D. 43 kmph
E. 63 kmph
70.

## If for power transmission a gear train consisting of 11 gears is used, then

A. the motion of driver and follower will be in the same direction
B. The motion of driver and follower will be in the opposite direction
C. either of (A) or (B) above
D. None of the above
E. 107 dynes
Answer» A. the motion of driver and follower will be in the same direction
71.

A. 8 cm
B. 6 cm
C. 4 cm
D. 10 cm
E. 12 cm
72.

## What is the total acceleration of a point on the rim of a flywheel 4 mts in diameter 0.6 see after it has started from rest if it accelarates uniformly from rest to 2000 rpm in 20 secs.

A. 68.9 mts/sec2
B. 102.6 mts/sec2
C. 78.94 mts/sec2
D. 107 dynes
E. 33.2 mts/sec2
73.

## Two identical weights are dropped simultaneously, one on water and the other in glycerine. Which of the following statement is correct?

A. The weight will settle slowly in water but quickly in glycerine
B. The weights will take same time to settle
C. The water level will fall but glycerine level will rise
D. The weight will settle quickly in water but slowly in glycerine
E. 107 dynes
Answer» D. The weight will settle quickly in water but slowly in glycerine
74.

## A wound watch spring possesses energy in the form of

A. Mechanical potential energy
B. Kinetic energy
C. Spring energy
D. Potential energy
E. Both potential and kinetic energy
75.

## The earth's gravitational force field is said to be conservative force field because

A. The work acted by the earth's gravitational field on a particle is independent on the path traced out by the particle
B. The work acted by the erth's gravitational field will cause same path for all particles irrespective of their mass
C. The direction of gravitational force is fixed
D. The gravitational field has only single directional component always acting normal to a body
E. The value of gravitational force rise is fixed
Answer» A. The work acted by the earth's gravitational field on a particle is independent on the path traced out by the particle
76.

A. 3.14 cm/s
B. 314 cm/s
C. 3140 cm/s
D. 31.4 cm/s
E. 31400 cm/s
77.

## The statement that the sum of the kinetic and potential energies of a particle in the earth's gravitational field is constant is known as

A. Principle of conservation of mechanical energy
B. Law of gravitation
C. Newton's law
D. Principle of conservation of momentum
E. Law of nature
Answer» A. Principle of conservation of mechanical energy
78.

## Which of the following is an example of a projectile?

A. Launching of a satellite
B. Taking off of an aircraft
C. Lifting of a balloon
D. Throwing of a cricket ball by a player
E. None of the above
Answer» D. Throwing of a cricket ball by a player
79.

80.

A. 8 sec
B. 2 sec
C. 4 sec
D. 10 sec
E. 6 sec
81.

A. 104,000 kg
B. 107 dynes
C. 1200,000 kg
D. 932,000 kg
E. 584,000 kg
82.

A. 5 cm
B. 10 cm
C. 12.5 cm
D. 20 cm
E. 15 cm
83.

## The principle of conservation of energy cannot be applied in case of

A. Flow of water in a pipe
B. A particle moving in gravitational field
C. Frictional movement of a particle over a surface
D. Frictionless movement of a principle over a surface
E. Simple pendulum
Answer» C. Frictional movement of a particle over a surface
84.

A. 1 sec
B. 4 sec
C. 2 sec
D. 5 sec
E. 3 sec
85.

A. 1146 tonnes
B. 573 tonnes
C. 286.5 tonnes
D. 50 tonnes
E. 145 tonnes
86.

A. Energy
B. Work
C. 107 dynes
D. Power
E. Torque
87.

A. Micrometre
B. Metre
C. Picometre
D. 107 dynes
E. Megametre
88.

A. 36?
B. 24?
C. 48?
D. 107 dynes
E. 76?
89.

A. 11.2 km/s
B. 2.2 km/s
C. 5.6 km/s
D. 4.4 km/s
E. 1 km/s
90.

## The centre of percussions is

A. The point of application of the resultant of all the forces tending to cause a body to rotate about a central axis
B. The point of application of the resultant of gravity and buoyancy forces of the body
C. The same as centre of gravity
D. The metacentre of the body
E. The point in a body about which it can rotate horizontally and oscillates under the influence of gravity
Answer» A. The point of application of the resultant of all the forces tending to cause a body to rotate about a central axis
91.

## Plastic collosion of two bodies of equal mass results in a common velocity after impact which is

A. Sum of their initial velocities
B. Difference of their initial velocities
C. Average of their initial velocities
D. Independent of their initial velocities
E. None of the above
Answer» E. None of the above
92.

## In which case power required would be more

A. In lifting up a weight of 100 kg at a velocity of 3 m/sec but accelerating upwards at 0.5 m/sec
B. In lowering a weight of 100 kg along an a inclined plane at an angle of 45? with
C. In lifting up a weight of 100 kg at a constant speed of 3 m/sec
D. In lowering the weight at a constant speed of 3 m/sec
E. In lowering the weight at a velocity of 3 m/sec and acceleration of 1 m/sec2
Answer» A. In lifting up a weight of 100 kg at a velocity of 3 m/sec but accelerating upwards at 0.5 m/sec
93.

A. 21 N
B. 107 dynes
C. 2 N
D. 6 N
E. 0
94.

A. 231
B. 246
C. 192
D. 107 dynes
E. 166
95.

## The necessary condition of equilibrium of a body is

A. The algebraic sum of horizontal components of all forces must be zero
B. The algebraic sum of vertical components of all forces must be zero
C. The algebraic sum of forces about a point must be zero
D. All the above
E. None of the above
96.

A. 27 m/s2
B. 18 m/s2
C. 36 m/s2
D. 9 m/s2
E. 107 dynes
97.

## A couple consists of a force P acting at a point A whose coordinates are (-1,2,4) m and force - F acting at a point whose coordinates are (2,3, -2)m. If F = 3i + 2j - 4k in kg units the moment of the couple in kg - m units would be

A. 8i - 6j - 3k
B. 12i - 3j + k
C. 16i - 12j - 6k
D. 4i - 3j + k
E. 8i + 5j + 3k
Answer» A. 8i - 6j - 3k
98.

## A block slides down a smooth inclined plane when released from the top while another falls freely from the same point. The value of which parameter in the two cases will be identical?

A. Time taken to reach the ground
B. Kinetic energy at the ground
C. Momentum at the ground
D. Velocity while touching the ground
E. Kinetic energy after one second
Answer» D. Velocity while touching the ground
99.

A. 3.32 ft
B. 0.98 ft
C. 2.73 ft
D. 1.87 ft
E. 107 dynes
100.

## A piece of wetted wood just floats in water. When placed in an oil of specific gravity 0.75, it will

A. Float with upside down
B. Sink
C. Float for sometime and then sink
D. Float with 3/4 of volume above the liquid surface
E. Float with 1/4 of volume above the liquid level