# Practice Test: Question Set - 08

**1. M.I. of solid sphere, is**

- (A) ⅔

*Mr*

^{2}

- (B) ½

*Mr*

^{2}

- (C)

*Mr*

^{2}

- (D)

*Ï€r*/2

^{4}**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*=*t*^{3}- 3*t*^{2}+ 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 = 2**

*t*^{3 }‑ 3*t*², 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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