Applied Mechanics MCQ with Answers PDF
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1. A bullet weighing 200 g is fired horizontally with a velocity of 25 m/sec from a gun carried on a carriage which together with the gun weighs 100 kg. The velocity of recoil of the gun, will be
A. 0.01 m/sec
B. 0.05 m/sec
C. 1.00 m/sec
D. 1.5 m/see
Answer: Option B
2. If the linear velocity of a point on the rim of a wheel of 10 m diameter, is 50 m/sec, its angular velocity will be
A. 20 rad/sec
B. 15 rad/sec
C. 10 rad/sec
D. 5 rad/sec
Answer: Option D
3. The motion of a particle is described by the relation x = t²- 10t + 30, where x is in meters and t in seconds. The total distance travelled by the particle from t = 0 to t = 10 seconds would be
A. Zero
B. 30 m
C. 50 m
D. 60 m
Answer: Option A
4. A sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be
A. Less than that on BC
B. More than that of BC
C. Equal to that on BC
D. None of these
Answer: Option B
5. On a ladder resisting on a smooth ground and leaning against a rough vertical wall, the force of friction acts
A. Towards the wall at its upper end
B. Away from the wall at its upper end
C. Upwards at its upper end
D. Downwards at its upper end
Answer: Option C
6. Two parallel forces 20 kg and 15 kg act. In order that the distance of the resultant from 20 kg force may be the same as that of the former resultant was from 15 kg, the 20 kg force is diminished by
A. 5.5 kg
B. 6.25 kg
C. 8.75 kg
D. 10.5 kg
Answer: Option C
7. Minimum pull in a suspended cable with supports at two ends is equal to
A. Horizontal thrust
B. Support reactions
C. Resultant of horizontal thrust and support reaction
D. Half the weight of the cable
Answer: Option A
8. In SI units, the units of force and energy are respectively
A. Newton and watt
B. Dyne and erg
C. Newton and joule
D. kg wt and joule
Answer: Option C
9. One Joule is equivalent to
A. 9.81 Newton metre
B. 1 Newton metre
C. 1 kg wt metre
D. 1 dyne metre
Answer: Option B
10. From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through
A. 0.25 cm
B. 0.50 cm
C. 0.75 cm
D. 1.00 cm
Answer: Option B
11. If the angular distance, 0 = 2t³ ‑ 3t², the angular acceleration at t = 1 sec. is
A. 1 rad/sec²
B. 4 rad/sec²
C. 6 rad/sec²
D. 12 rad/sec²
Answer: Option C
12. When a circular wheel rolls on a straight track, then the shape of body centrode and space centrode respectively are
A. Straight line and parabola
B. Straight line and circle
C. Circle and straight line
D. Circle and parabola
Answer: Option C
13. If two forces of 3 kg and 4 kg act at right angles to each other, their resultant force will be equal to
A. 7 kg
B. 1 kg
C. 5 kg
D. None of these
Answer: Option C
14. Effect of a force on a body depends upon its
A. Direction
B. Magnitude
C. Position
D. All the above
Answer: Option D
15. In case of S.H.M. the period of oscillation (T), is given by
A. T = 2ω/Ï€²
B. T = 2π/ω
C. T = 2/ω
D. T = π/2ω
Answer: Option B
16. The unit of force in C.G.S. system of units, is called
A. Dyne
B. Newton
C. Kg
D. All the above
Answer: Option A
17. The masses of two balls are in the ratio of 2 : 1 and their respective velocities are in the ratio of 1 : 2 but in opposite direction before impact. If the coefficient of restitution is ½, the velocities of separation of the balls will be equal to
A. Original velocity in the same direction
B. Half the original velocity in the same direction
C. Half the original velocity in the opposite direction
D. Original velocity in the opposite direction
Answer: Option D
18. In a lifting machine a weight of 5 kN is lifted through 200 mm by an effort of 0.1 kN moving through 15 m. The mechanical advantage and velocity ratio of the machine are respectively
A. 50 and 75
B. 75 and 50
C. 75 and 75
D. 50 and 50
Answer: Option A
19. The unit of moments in M.K.S system, is
A. kg.m
B. kg/m2
C. kg/sec2
D. kg/sec
Answer: Option A
20. A satellite moves in its orbit around the earth due to
A. Gravitational force
B. Centripetal force
C. Centrifugal force
D. None of these
Answer: Option B
21. A 49 kg lady stands on a spring scale in an elevator. During the first 5 sec, starting from rest, the scale reads 69 kg. The velocity of the elevator will be
A. 10 m/sec
B. 15 m/sec
C. 20 m/sec
D. 25 m/sec
Answer: Option C
22. The resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’, is
A. P² + Q² + 2P sin θ
B. P² + Q² + 2PQ cos θ
C. P² + Q² + 2PQ tan θ
D. √(P² + Q² + 2PQ cos θ)
Answer: Option D
23. ‘μ’ is coefficient of friction. A wheeled vehicle travelling on a circular level track will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, is
A. μ
B. 2μ
C. 3μ
D. ½Î¼
Answer: Option B
24. A cable loaded with 10 kN/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are
A. 1346.3 kN and 1500 kN
B. 1436.2 kN and 1250 kN
C. 1346.3 kN and 1250 kN
D. 1436.2 kN and 1500 kN
Answer: Option C
25. A satellite goes on moving along its orbit round the earth due to
A. Gravitational force
B. Centrifugal force
C. Centripetal force
D. None of these
Answer: Option B
Applied Mechanics MCQ with Answers PDF
26. If a particle moves with a uniform angular velocity ‘ω’ radians/sec along the circumference of a circle of radius ‘r’, the equation for the velocity of the particle, is
A. v = ω √(y² - r²)
B. y = ω √(y - r)
C. v = ω √(r² + y²)
D. v = ω √(r² - y²)
Answer: Option D
27. A vehicle weighing w kg is to run on a circular curve of radius r. If the height of its centre of gravity above the road level is h and the distance between the centres of wheels is 2a, the maximum velocity, in order to avoid over turning, will be
A. gra/h
B. √(gra/h)
C. ∛(gra/h)
D. 4√(gra/h)
Answer: Option B
28. Pick up the correct statement from the following. A rubber ball when strikes a wall rebounds but a lead ball of same mass and velocity when strikes the same wall, falls down
A. Rubber and lead balls undergo equal changes in momentum
B. Change in momentum suffered by lead ball is less that of rubber ball
C. Momentum of rubber ball is less than that of lead ball
D. None of these
Answer: Option D
29. Parallelogram Law of Forces states, "if two forces acting simultaneously on a particle be represented in magnitude and direction by two adjacent sides of a parallelogram, their resultant may be represented in magnitude and direction by
A. Its longer side
B. Its shorter side
C. The diagonal of the parallelogram which does not pass through the point of intersection of the forces
D. The diagonal of the parallelogram which passes through the point of intersection of the forces
Answer: Option D
30. Pick up the correct statement from the following. The kinetic energy of a body
A. Before impact is equal to that after impact
B. Before impact is less than that after impact
C. Before impact is more than that after impact
D. Remain constant
Answer: Option C
31. A weight of 100 kg is supported by a string whose ends are attached to pegs ‘A’ and ‘B’ at the same level
shown in below figure. The tension in the string is
A. 50 kg
B. 750 kg
C. 100 kg
D. 120 kg
Answer: Option C
32. On a ladder resting on a rough ground and leaning against a smooth vertical wall, the force of friction acts
A. Downwards at its upper end
B. Upwards at its upper end
C. Perpendicular to the wall at its upper end
D. Zero at its upper end
Answer: Option D
33. In a simple screw jack, the pitch of the screw is 9 mm and length of the handle operating the screw is 45 cm.
A. 1.5
B. 5
C. 25
D. 314
Answer: Option D
34. Two forces act an angle of 120°. If the greater force is 50 kg and their resultant is perpendicular to the smaller force, the smaller force is
A. 20 kg
B. 25 kg
C. 30 kg
D. 35 kg
Answer: Option B
35. A body of weight ‘w’ placed on an inclined plane is acted upon by a force ‘P’ parallel to the plane which causes the body just to move up the plane. If the angle of inclination of the plane is ‘θ’ and angle of friction is ‘φ’, the minimum value of ‘P’, is
A. w sin (φ - θ)/cos φ
B. w sin (θ - φ)/cos φ
C. w cos (θ + φ)/cos φ
D. w sinθ cos(θ - φ)/sin φ
Answer: Option B
36. A ball is dropped from a height of 2.25 m on a smooth floor and rises to a height of 1.00 m after the bounce. The coefficient of restitution between the ball and the floor is
A. 0.33
B. 0.44
C. 0.57
D. 0.67
Answer: Option D
37. A system of coplanar forces is in equilibrium when
A. Force polygon closes
B. Funicular polygon closes
C. Both force polygon" and funicular polygon close
D. All the forces are concurrent
Answer: Option C
38. For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is
A. α = π/4 - β/2
B. α = π/2 + β/2
C. α = β/2 - π/2
D. α = π/4 - β/2
Answer: Option B
39. Which of the following is a scalar quantity?
A. Energy
B. Momentum
C. Torque
D. Impulse
Answer: Option A
40. The following is not a law of static friction:
A. The force of friction always acts in a direction opposite to that in which the body tends to move
B. The force of friction is dependent upon the area of contact
C. The force of friction depends upon the roughness of the surface
D. The magnitude of the limiting friction bears a constant ratio to the normal reaction between two surfaces
Answer: Option A
41. A marble ball is rolled on a smooth floor of a room to hit a wall. If the time taken by the ball in returning to the point of projection is twice the time taken in reaching the wall, the coefficient of restitution between the ball and the wall, is
A. 0.25
B. 0.50
C. 0.75
D. 1.0
Answer: Option B
42. Time period and length of a second’s pendulum respectively are
A. 1 sec and 99.4 cm
B. 1 sec and 92.7 cm
C. 2 sec and 99.4 cm
D. 2 sec and 92.7 cm
Answer: Option C
43. Periodic time of a particle moving with simple harmonic motion is the time taken by the particle for
A. Half oscillation
B. Quarter oscillation
C. Complete oscillation
D. None of these
Answer: Option C
44. The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is band the vertical side is a, from its vertical face is
A. (a² + ab + b²)/3 (a + b)
B. (b² + bc + c²)/3 (b + c)
C. (a² + ab + c²)/3 (a + c)
D. None of these
Answer: Option A
45. A body is said to move with Simple Harmonic Motion if its acceleration, is
A. Always directed away from the centre, the point of reference
B. Proportional to the square of the distance from the point of reference
C. Proportional to the distance from the point of reference and directed towards it
D. Inversely proportion to the distance from the point of reference
Answer: Option C
46. The force polygon representing a set of forces in equilibrium is a
A. Triangle
B. Open polygon
C. Closed polygon
D. Parallelogram
Answer: Option C
47. One Newton force, is
A. 10³ dynes
B. 10⁴ dynes
C. 10⁵ dynes
D. 10⁶ dynes
Answer: Option C
48. Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction.
The speeds of the objects are:
A. 2 m/sec and 2 m/sec
B. 3 m/sec and 2 m/sec
C. 3 m/sec and 3 m/sec
D. 4 m/sec and 6 m/sec
Answer: Option B
49. A string of length 90 cm is fastened to two points ‘A’ and ‘B’ at the same level 60 cm apart. A ring weighing 120 g is slided on the string. A horizontal force ‘P’ is applied to the ring such that it is in equilibrium vertically below ‘B’. The value of ‘P’ is:
A. 40 g
B. 60 g
C. 80 g
D. 100 g
Answer: Option C
50. The angular speed of a car taking a circular turn of radius 100 m at 36 km/hr will be
A. 0.1 rad/sec
B. 1 rad/sec
C. 10 rad/sec
D. 100 rad/sec
Answer: Option A
Applied Mechanics MCQ with Answers PDF
51. In which of the following trusses, the method of substitution is required for determining the forces in all the members of the truss by graphic statics?
A. Howe truss
B. King post truss
C. Fink truss
D. Warren truss
Answer: Option C
52. If ‘α’ is the angular acceleration of a compound pendulum whose angular displacement is ‘θ’, the frequency of the motion is
A. 2Ï€ √(α/θ)
B. (1/2Ï€) √(α/θ)
C. 4Ï€ √(α/θ)
D. 2Ï€ √(α - θ)
Answer: Option B
53. A stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in
A. 5 sec
B. 8 sec
C. 10 sec
D. 20 sec
Answer: Option C
54. If g1 and g2 are the gravitational accelerations on two mountains A and B respectively, the weight of a body when transported from A to B will be multiplied by
A. g1
B. g2
C. g1/g2
D. g2/g1
Answer: Option D
55. One Newton is equivalent to
A. 1 kg. wt
B. 9.81 kg. wt
C. 981 dyne
D. 1/9.81 kg. wt
Answer: Option D
56. M.I. of solid sphere, is
A. ⅔ Mr²
B. ½ Mr²
C. Mr²
D. πr4/2
Answer: Option C
57. The centre of gravity of the trapezium as shown in below figure from the side is at a distance of
A. (h/3) × [(b + 2a)/(b + a)]
B. (h/3) × [(2b + a)/(b + a)]
C. (h/2) × [(b + 2a)/(b + a)]
D. (h/2) × [(2b + a)/(b + a)]
Answer: Option A
58. The following statement is one of the laws of Dynamic friction
A. The force of friction always acts in a direction opposite to that in which a body is moving
B. The magnitude of the kinetic friction bears a constant ratio to the normal reaction between two surfaces. The ratio beingslightly less than that in the case of limiting friction
C. For moderate speeds the force of friction remains constant but decreases slightly with the increase of speed
D. All the above
Answer: Option D
59. A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable ?
A. pyramid
B. prism
C. both equally stable
D. none of the above
Answer: Option A
60. A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec. The work required to stop the hoop is
A. 2 J
B. 4 J
C. 6 J
D. 8 J
Answer: Option B
61. If ‘l’ is the span of a light suspension bridge who’s each cable carries total weight (w) and the central dip is ‘y’, the horizontal pull at each support, is
A. wl/4y
B. wl/8y
C. wl/2y
D. wl
Answer: Option B
62. The centre of gravity of a quadrant of a circle lies along its central radius at a distance of
A. 0.2 R
B. 0.4 R
C. 0.3 R
D. 0.6 R
Answer: Option D
63. The angles between two forces to make their resultant a minimum and a maximum respectively are
A. 0° and 90°
B. 180° and 90°
C. 90° and 180°
D. 180° and 0°
Answer: Option D
64. The motion of a bicycle wheel is
A. Translatory
B. Rotary
C. Rotary and translatory
D. Curvilinear
Answer: Option C
65. A 50 kg boy climbs up a 8 m rope in gymnasium in 10 sec. The average power developed by the boy is approximately
A. 400 watts
B. 500 watts
C. 4000 watts
D. None of these
Answer: Option A
66. One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The tension in the string is
A. 17.5 kg
B. 19.5 kg
C. 22.5 kg
D. 25 kg
Answer: Option C
67. For a given velocity of a projectile, the range is maximum when the angle of projection is
A. 30°
B. 45°
C. 90°
D. 0°
Answer: Option B
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