Theory Practice Applied Mechanics and Graphic Statics - Set 17 - ObjectiveBooks
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# Practice Test: Question Set - 17

1. A smooth cylinder lying on its convex surface remains
(A) In stable equilibrium
(B) In unstable equilibrium
(C) In neutral equilibrium
(D) Out of equilibrium

2. A trolley wire weighs 1 kg per metre length. The ends of the wire are attached to two poles 20 m apart. If the horizontal tension is 1000 kg, the central dip of the cable is
(A) 2 cm
(B) 3 cm
(C) 4 cm
(D) 5 cm

3. A particle moves in a straight line and its position is defined by the equation x = 6 t² - t3 where t is expressed in seconds and ‘x’ in meters. The maximum velocity during the motion is
(A) 6 m/sec
(B) 12 m/sec
(C) 24 m/sec
(D) 48 m/sec

4. Periodic time of a particle moving with simple harmonic motion is the time taken by the particle for
(A) Half oscillation
(B) Quarter oscillation
(C) Complete oscillation
(D) None of these

5. One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The reaction between the sphere and the wall of the arrangement made is
(A) 102.5 kg
(B) 105.5 kg
(C) 108.5 kg
(D) 110 kg

6. A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is
(A) 4.5 J
(B) 9.0 J
(C) 12.0 J
(D) 18.0 J

7. The Centre of gravity of a 10 × 15 × 5 cm T section from its bottom, is
(A) 7.5 cm
(B) 5.0 cm
(C) 8.75 cm
(D) 7.85 cm

8. The following is not a law of static friction:
(A) The force of friction always acts in a direction opposite to that in which the body tends to move
(B) The force of friction is dependent upon the area of contact
(C) The force of friction depends upon the roughness of the surface
(D) The magnitude of the limiting friction bears a constant ratio to the normal reaction between two surfaces

9. One Newton is equivalent to
(A) 1 kg. wt
(B) 9.81 kg. wt
(C) 981 dyne
(D) 1/9.81 kg. wt

10. When a body slides down an inclined surface, the acceleration (f) of the body, is given by
(A) f = g
(B) f = g sin θ
(C) f = g cos θ
(D) f = g tan θ

11. For lifting a load of 50 kg through a distance of 2.5 cm, an effort of 12.5 kg is moved through a distance of 40 cm. The efficiency of the lifting machine, is
(A) 60 %
(B) 65 %
(C) 70 %
(D) 75 %

12. In a lifting machine a weight of 5 kN is lifted through 200 mm by an effort of 0.1 kN moving through 15 m. The mechanical advantage and velocity ratio of the machine are respectively
(A) 50 and 75
(B) 75 and 50
(C) 75 and 75
(D) 50 and 50

13. The motion of a particle moving with S.H.M. from an extremity to the other, constitutes
(A) Half an oscillation
(B) One full oscillation
(C) Two oscillations
(D) None of these

14. One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The tension in the string is
(A) 17.5 kg
(B) 19.5 kg
(C) 22.5 kg
(D) 25 kg

15. If the given forces P₁, P₂, P₃ and P₄ are such that the force polygon does not close, then the system will
(A) Be in equilibrium
(B) Always reduce to a resultant force
(C) Always reduce to a couple
(D) Both (A) and (C)

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