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/2g
- (B) u² sin² α/2g
- (C) u² tan² α/2g
- (D) u² sin 2α/2g
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) πd4/12
- (B) πd4/16
- (C) πd4/24
- (D) πd4/32
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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