# Practice Test: Question Set - 15

**1. If the velocity of projection is 4 m/sec and the angle of projection is α°, the maximum height of the projectile from a horizontal plane, is**

- (A)

*u² cos² α*/2

*g*

- (B)

*u² sin² α*/2

*g*

- (C)

*u² tan² α*/2

*g*

- (D)

*u² sin*2

*α*/2

*g*

**2. If two forces acting at a point are in equilibrium, they must be equal in magnitude and their line of action must be along**

- (A) The
same line in the same sense

- (B) The
same line in opposite sense

- (C) The
perpendicular to both the lines

- (D) None of
these

**3. The shape of a suspended cable for a uniformly distributed load over it is**

- (A) Circular

- (B) Parabolic

- (C) Catenary

- (D) Cubic parabola

**4. Kinetic friction may be defined as**

- (A) Friction
force acting when the body is just about to move

- (B) Friction
force acting when the body is in motion

- (C) Angle
between normal reaction and resultant of normal reaction and limiting friction

- (D) Ratio
of limiting friction and normal reaction

**5. Ball ‘**

*A’*of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/s hits an identical stationary ball ‘*B’*on the table. If the impact is perfectly elastic, the velocity of the ball ‘*B’*just after impact would be- (A) Zero

- (B) 5 m/sec

- (C) 10 m/sec

- (D) None
of these

**6. A bullet weighing 10 gm moves with a velocity of l km/sec. Its kinetic energy is**

**(i) 5000 Nm**

**(ii) 5000 kg.m**

**(iii) 5000 J**

**The correct answer is**

- (A) Only (ii)

- (B) Both (i) and (iii)

- (C) Both (ii) and (iii)

- (D) All (i), (ii) and (iii)

**7. The moment of inertia of a circular lamina of diameter**

*‘d’*, about an axis perpendicular to the plane of the lamina and passing through its centre, is- (A)

*πd*

^{4}/12

- (B)

*πd*

^{4}/16

- (C)

*πd*

^{4}/24

- (D)

*πd*

^{4}/32

**8. If ‘**

*v’*and ‘ω’ are linear and angular velocities, the centripetal acceleration of a moving body along the circular path of radius ‘*r’*, will be- (A)

*r*/

*v²*

- (B)

*v²*/

*r*

- (C)

*r*/

*ω²*

- (D)

*ω²*/

*r*

**9. A funicular polygon cannot be made to pass through**

- (A) One specified point

- (B) Two specified points

- (C) Three specified points

- (D) More than three specified points

**10. From a solid cylinder of height 8 cm and radius 4 cm, a right circular cone is scooped out on the same base and having the same height as that of the cylinder. The C.G. of the remainder is at a height of**

- (A) 4.5 cm

- (B) 5.0 cm

- (C) 5.25 cm

- (D) 5.5 cm

**11. The height at which the end of a rope of length ‘**

*l’*should be tied so that a man pulling at the other end may have the greatest tendency to overturn the pillar, is- (A) ¾

*l*

- (B) ½

*l*

- (C)

*l*/√2

- (D) 2/√3

*l*

**12. A cube on a smooth horizontal surface**

- (A) Cannot be in stable equilibrium

- (B) Cannot be in neutral equilibrium

- (C) Cannot be in unstable equilibrium

- (D) Can be in any of these states

**13. The velocity ratio of an inclined plane of inclination ‘θ’ with horizontal for lifting a load is**

- (A) sin θ

- (B) cos θ

- (C) tan θ

- (D) cosec θ

**14. Two forces of 6 Newtons and 8 Newtons which are acting at right angles to each other, will have a resultant of**

- (A) 5 Newtons

- (B) 8 Newtons

- (C) 10 Newtons

- (D) 12 Newtons

**15. Rate of change of angular momentum is equal to**

- (A) Force

- (B) Torque

- (C) Linear momentum

- (D) Impulse

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