Applied Mechanics and Graphic Statics MCQ Solved Paper for NEET PG

1. A ball of mass 1 kg moving with a velocity of 2 m/sec collides a stationary ball of mass 2 kg and comes to rest after impact. The velocity of the second ball after impact will be
A. Zero
B. 0.5 m/sec
C. 1.0 m/sec
D. 2.0 m/sec
Answer : C

2. A projectile is fired with a velocity of 100.3 m/sec. at an elevation of 60°. The velocity attained by the projectile when it is moving at a height of 100 m, is
A. 70 m/sec
B. 75 m/sec
C. 80 m/sec
D. 90 m/sec
Answer : D

3. A heavy ladder resting on a floor and against a vertical wall may not be in equilibrium, if
A. Floor is smooth and the wall is rough
B. Floor is rough and the wall is smooth
C. Floor and wall both are smooth surfaces
D. Floor and wall both are rough surfaces
Answer : C

4. Energy may be defined as
A. Power of doing work
B. Capacity of doing work
C. Rate of doing work
D. All the above
Answer : B

5. The C.G. of a hemisphere from its base measured along the vertical radius is at a distance of
A. 4R/3?
B. 3R/8
C. 3?R/4
D. 8R/3
Answer : B

6. If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is
A. Proportional to A
B. Proportional to A²
C. Proportional to 1/A²
D. Independent of A
Answer : B

7. When a body moves round a fixed axis, it has
A. A rotary motion
B. A circular motion
C. A translatory
D. A rotary motion and translatory motion
Answer : B

8. The reaction at the support D of the continuous beam ABCD, hinged at two points shown in below figure is
A. 1.6 t ?
B. 1.6 t ?
C. 0.5 t ?
D. 0.5 t ?
Answer : B

9. In case of S.H.M. the period of oscillation (T), is given by
A. T = 2?/?²
B. T = 2?/?
C. T = 2/?
D. T = ?/2?
Answer : B

10. The maximum displacement of a particle executing S.H.M. corresponds to
A. Zero potential energy and maximum kinetic energy
B. Zero kinetic energy and maximum potential energy
C. Maximum kinetic energy and maximum potential energy
D. Minimum kinetic energy and minimum potential energy
Answer : B

11. The rate of change of displacement of a body with respect to its surrounding, is known
A. Velocity
B. Acceleration
C. Speed
D. None of these
Answer : C

12. M.I. of solid sphere, is
A. ? Mr²
B. ½ Mr²
C. Mr²
D. ?r⁴/2
Answer : C

13. The maximum frictional force which comes into play, when a body just begins to slide over the surface of a another body, is known
A. Sliding friction
B. Rolling friction
C. Limiting friction
D. None of these
Answer : C

14. The tension in a cable supporting a lift
A. Is more when the lift is moving downwards
B. Is less when the lift is moving upwards
C. Remains constant whether its moves downwards or upwards
D. Is less when the lift is moving downwards
Answer : D

15. The unit of impulse, is
A. kg.m/sec
B. kg.m/sec
C. kg.m/sec²
D. kg.m/sec
Answer : A

16. The angle of projection at which the horizontal range and maximum height of a projectile are equal to
A. 36°
B. 45°
C. 56°
D. 76°
Answer : D

17. If two bodies of masses M₁ and M₂(M₁ > M₂) are connected by alight inextensible string passing over a smooth pulley, the tension in the string, will be given by
A. T = g(M₁ - M₂)/(M₁ + M₂)
B. T = g(M₁ + M₂)/(M₁ × M₂)
C. T = g(M₂ - M₁)/(M₁ + M₂)
D. T = g(M₂ + M₁)/(M₂ - M₁)
Answer : A

18. A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kgm² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is
A. 50 J
B. 150 J
C. 200 J
D. 400 J
Answer : C

19. 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 : A

20. The maximum velocity of a body vibrating with a simple harmonic motion of amplitude 150 mm and frequency 2 vibrations/sec, is
A. 188.5 m/sec
B. 18.85 m/sec
C. 1.885 m/sec
D. 0.18845 m/sec
Answer : C

21. Instantaneous center is at infinity when the angular velocity is
A. Constant
B. Zero
C. Maximum
D. Minimum
Answer : B

22. The displacement of a particle which moves along a straight line is given by S = 4t3 + 3t2- 10 where S is in meters and t is in seconds. The time taken by the particle to acquire a velocity of 18 m/sec from rest, is
A. ½ sec
B. 1 sec
C. 1.2 sec
D. 1.5 sec
Answer : B

23. The ends of a string weighing w/metre are attached to two points at the same horizontal level. If the central dip is very small, the horizontal tension of the string throughout is
A. wl/4d
B. wl²/4d
C. wl²/8d
D. wl²/16d
Answer : C

24. A ball which is thrown upwards, returns to the ground describing a parabolic path during its flight
A. Vertical component of velocity remains constant
B. Horizontal component of velocity remains constant
C. Speed of the ball remains constant
D. Kinetic energy of the ball remains constant
Answer : B

25. If the tension in a cable supporting a lift moving upwards is twice the tension when the lift is moving downwards, the acceleration of the lift, is
A. g/2
B. g/3
C. g/4
D. g/5
Answer : B

26. For lifting a load of 50 kg through a distance of 2.5 cm, an effort of 12.5 kg is moved through a distance of 40 cm. The efficiency of the lifting machine, is
A. 60 %
B. 65 %
C. 70 %
D. 75 %
Answer : D

27. 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 : D

28. A projectile is fired at an angle ? to the vertical. Its horizontal range will be maximum when ? is
A. 0°
B. 30°
C. 45°
D. 90°
Answer : C

29. The characteristic of a couple is:
A. Algebraic sum of forces, constituting a couple is zero
B. Algebraic sum of moments of forces, constituting a couple, about any point, is same
C. A couple can be never the balanced by a single force
D. All the above
Answer : D

30. The angle of friction is:
A. The ratio of the friction and the normal reaction
B. The force of friction when the body is in motion
C. The angle between the normal reaction and the resultant of normal reaction and limiting friction
D. The force of friction at which the body is just about to move
Answer : C

31. A particle executes a simple harmonic motion. While passing through the mean position, the particle possesses
A. Maximum kinetic energy and minimum potential energy
B. Maximum kinetic energy and maximum potential energy
C. Minimum kinetic energy and maximum potential energy
D. Minimum kinetic, energy and minimum potential energy
Answer : A

32. If two forces are in equilibrium, then the forces must (i) Be equal in magnitude (ii) Be opposite in sense (iii) Act along the same line The correct answer is
A. (i) and (ii)
B. (i) and (iii)
C. Only (i)
D. All (i), (ii) and (iii)
Answer : D

33. The angle of projection for a range is equal to the distance through which the particle would have fallen in order to acquire a velocity equal to the velocity of projection, will be
A. 30°
B. 45°
C. 60°
D. 75°
Answer : 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 : B

35. A simple pendulum of length l has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be
A. E
B. E/2
C. 2E
D. 4E
Answer : B

36. Newton's law of Collision of elastic bodies states that when two moving bodies collide each other, their velocity of separation
A. Is directly proportional to their velocity of approach
B. Is inversely proportional to their velocity of approach
C. Bears a constant ratio to their velocity of approach
D. Is equal to the sum of their velocities of approach
Answer : C

37. The forces which meet at one point and have their lines of action in different planes are called
A. Coplanar non-concurrent forces
B. Non-coplanar concurrent forces
C. Non-coplanar non-current forces
D. Intersecting forces
Answer : B

38. The Law of Polygon of Forces states that
A. If a polygon representing the forces acting at point in a body is closed, the forces are in equilibrium
B. If forces acting on a point can be represented in magnitude and direction by the sides of a polygon taken in order, then the resultant of the forces will be represented in magnitude and direction by the closing side of the polygon
C. If forces acting on a point can be represented of a polygon taken in order, their sides of a polygon taken in order, their resultant will be represented in magnitude and direction by the closing side of the polygon, taken in opposite order
D. If forces acting on a point can be represented in magnitude and direction by the sides of a polygon in order, the forces are in equilibrium
Answer : C

39. A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The velocity ratio of the liftig machine is
A. 50
B. 55
C. 60
D. 65
Answer : A

40. The unit of Moment of Inertia of a body, is
A. m
B. m²
C. m³
D. m⁴
Answer : D

41. If the gravitational acceleration at any place is doubled, the weight of a body, will
A. Be reduced to half
B. Be doubled
C. Not be affected
D. None of these
Answer : B

42. The member which does not carry zero force in the structure shown in below figure, is

A. ED
B. DC
C. BC
D. BD
Answer : D

43. 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 : C

44. The force acting on a point on the surface of a rigid body may be considered to act
A. At the centre of gravity of the body
B. On the periphery of the body
C. On any point on the line of action of the force
D. At any point on the surface normal to the line of action of the force
Answer : C

45. A rod 5 m in length is moving in a vertical plane. When it is inclined at 60° to horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is
A. 0.5 m/sec
B. 1.0 m/sec
C. 1.5 m/sec
D. 2.5 m/sec
Answer : B

46. The beam shown in below figure is supported by a hinge at A and a roller at B. The reaction RA of the hinged support A of the beam, is
A. 10.8 t
B. 10.6 t
C. 10.4 t
D. 10.2 t
Answer : D

47. The instantaneous centre of a member lies at the point of intersection of two lines drawn at the ends of the member such that the lines are inclined to the direction of motion of the ends at
A. 30°
B. 45°
C. 60°
D. 90°
Answer : D

48. For a simple pendulum, the period of one oscillation is
A. 2? ?(l/2g)
B. 2? ?(2g/l)
C. 2? ?(l/g)
D. 2? ?(g/2l)
Answer : C

49. If ? is the angular acceleration of a compound pendulum whose angular displacement is ?, the frequency of the motion is
A. 2? ?(?/?)
B. (1/2?) ?(?/?)
C. 4? ?(?/?)
D. 2? ?(? - ?)
Answer : B

50. Two loads of 50 kg and 75 kg are hung at the ends of a rope passing over a smooth pulley shown in below figure. The tension in the string is:
A. 50 kg
B. 75 kg
C. 25 kg
D. 60 kg
Answer : D