Applied Mechanics MCQ Exam Questions - Set 08 - ObjectiveBooks

# Practice Test: Question Set - 08

1. M.I. of solid sphere, is
(A) ⅔ Mr2
(B) ½ Mr2
(C) Mr2
(D) πr4/2

2. 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

3. The necessary condition of equilibrium of a body is:
(A) Algebraic sum of horizontal components of all the forces must be zero
(B) Algebraic sum of vertical components of all the forces must be zero
(C) Algebraic sum of the moments of the forces about a point must be zero
(D) All (a), (b) and (c)

4. Which of the following represents the state of neutral equilibrium?
(A) A cube resting on one edge
(B) A smooth cylinder lying on a curved surface
(C) A smooth cylinder lying on a convex surface
(D) None of the above

5. The unit of force in C.G.S. system of units, is called
(A) Dyne
(B) Newton
(C) Kg
(D) All the above

6. The equation of motion of a particle starting from rest along a straight line is x = t3 - 3t2+ 5. The ratio of the accelerations after 5 sec and 3 sec will be
(A) 2
(B) 3
(C) 4
(D) 5

7. Pick up the incorrect statement from the following:
(A) The C.G. of a circle is at its centre
(B) The C.G. of a triangle is at the intersection of its medians
(C) The C.G. of a rectangle is at the intersection of its diagonals
(D) The C.G. of a semicircle is at a distance of r/2 from the centre

8. 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

9. 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

10. 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

11. 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

12. 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°

13. 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

14. The mechanical advantage of an ideal machine is 100. For moving the local through 2 m, the effort moves through
(A) 0.02 m
(B) 2 m
(C) 2.5 m
(D) 20 m

15. A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45° and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be
(A) 0.5 m/sec
(B) 1.5 m/sec
(C) 2.5 m/sec
(D) 3.5 m/sec

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