Civil Engineering Applied Mechanics MCQ - Set 15 - ObjectiveBooks

# 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
(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/
(B) /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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