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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