# Practice Test: Question Set - 09

**1. If**

*A*is the amplitude of particle executing simple harmonic motion, then the total energy*E*of the particle is- (A) Proportional to

*A*

- (B) Proportional to

*A*²

- (C) Proportional to 1/

*A*²

- (D) Independent of

*A*

**2. A body of weight ‘**

*w’*placed on an inclined plane is acted upon by a force ‘*P’*parallel to the plane which causes the body just to move up the plane. If the angle of inclination of the plane is ‘Î¸’ and angle of friction is ‘*Ï†*’, the minimum value of ‘*P’*, is- (A)

*w sin*(

*Ï†*- Î¸)/

*cos*

*Ï†*

- (B)

*w sin*(Î¸ -

*Ï†*)/

*cos Ï†*

- (C)

*w cos*(Î¸ +

*Ï†*)/

*cos*

*Ï†*

- (D)

*w sin*Î¸

*cos*(Î¸ -

*Ï†*)/

*sin Ï†*

**3. The C.G. of a thin hollow cone of height ‘**

*h’*, above its base lies on the axis, at a height of- (A)

*h*/3

- (B)

*h*/4

- (C) 2

*h*/3

- (D) 3

*h*/4

**4. According to Law of Triangle of Forces**

- (A) Three forces
acting at a point, can be rep-resented by the sides of a triangle, each side
being in proportion to the force

- (B) Three forces
acting along the sides of a triangle are always in equilibrium

- (C) If three
forces acting on a, point can be represented in magnitude and direction, by the
sides of a triangle taken in order, these will be in equilibrium

- (D) If the
forces acting on a particle be represented in magnitude and direction by the
two sides of a triangle taken in order, their resultant will be represented in
magnitude and direction by the third side of the triangle, taken in opposite
order

**5. The unit of rotational inertia of a body in C.G.S system is**

- (A) cm

^{4}

- (B) kg.cm²

- (C) gm.cm²

- (D) gm.cm

^{3}

**6. In case of S.H.M. the period of oscillation (**

*T*), is given by- (A)

*T*= 2Ï‰/Ï€²

- (B)

*T*= 2Ï€/Ï‰

- (C)

*T*= 2/Ï‰

- (D)

*T*= Ï€/2Ï‰

**7. The locus of the instantaneous centre of a moving rigid body, is**

- (A) Straight
line

- (B) Involute

- (C) Centroid

- (D) Spiral

**8. A 50 kg boy climbs up a 8 m rope in gymnasium in 10 sec. The average power developed by the boy is approximately**

- (A) 400 watts

- (B) 500 watts

- (C) 4000 watts

- (D) None
of these

**9. Minimum pull in a suspended cable with supports at two ends is equal to**

- (A) Horizontal thrust

- (B) Support reactions

- (C) Resultant of horizontal thrust and support reaction

- (D) Half the weight of the cable

**10. The reaction at the central support**

*B*of the beam*ABC*hinged at*D*shown in below figure is- (A) 2

*t*

- (B) 5.8

*t*

- (C) 0.2

*t*

- (D) 3.5

*t*

**11. Engineer's units of force, is**

- (A) Newton
in absolute units

- (B) Dyne in
absolute units

- (C) Newton
and dyne in absolute units

- (D) All the
above

**12. The ends of a string weighing**

*w*/metre are attached to two points at the same horizontal level. If the central dip is very small, the horizontal tension of the string throughout is- (A)

*wl*/4

*d*

- (B)

*wl²*/4

*d*

- (C)

*wl²*/8

*d*

- (D)

*wl²*/16

*d*

**13. A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be**

- (A) 20 m/sec

- (B) 30 m/sec

- (C) 40 m/sec

- (D) 50 m/sec

**14. The rate of change of displacement of a body with respect to its surrounding, is known**

- (A) Velocity

- (B) Acceleration

- (C) Speed

- (D) None
of these

**15. If the radius of the earth is 600 km the height of a mountain above sea level at the top of which a beat seconds pendulum at sea level, looses 27 seconds a day, is**

- (A) 500 meters

- (B) 1000 meters

- (C) 1500
meters

- (D) 2000 meters

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