# 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*t*² -*t*^{3 }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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