# Practice Test: Question Set - 14

**1. A body is said to move with Simple Harmonic Motion if its acceleration, is**

- (A) Always
directed away from the centre, the point of reference

- (B) Proportional
to the square of the distance from the point of reference

- (C) Proportional
to the distance from the point of reference and directed towards it

- (D) Inversely
proportion to the distance from the point of reference

**2. An ordinate in a funicular polygon represents**

- (A) Shear force

- (B) Resultant force

- (C) Bending moment

- (D) Equilibrium

**3. The load shared by the member**

*BC*of the structure shown in below figure is- (A) 23

*t*

- (B) 32

*t*

- (C) 4

*t*

- (D) 3

*t*

**4. A bullet weighing 200 g is fired horizontally with a velocity of 25 m/sec from a gun carried on a carriage which together with the gun weighs 100 kg. The velocity of recoil of the gun, will be**

- (A) 0.01 m/sec

- (B) 0.05 m/sec

- (C) 1.00 m/sec

- (D) 1.5 m/see

**5. The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be**

- (A) sin (Î± +
Î²)/sin (Î± - Î²)

- (B) sin (Î± -
Î²)/sin (Î± + Î²)

- (C) cos (Î± -
Î²)/cos (Î± + Î²)

- (D) tan (Î± -
Î²)/tan (Î± + Î²)

**6. The resultant of two forces**

*P*and*Q*is*R*. If*Q*is doubled, the new resultant is perpendicular to*P*. Then,- (A)

*P*=

*R*

- (B)

*Q*=

*R*

- (C)

*P*=

*Q*

- (D) None of the above is correct

**7. A sphere is resting on two planes**

*BA*and*BC*which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane*BA*will be- (A) Less than
that on

*BC*

- (B) More than
that of

*BC*

- (C) Equal to
that on

*BC*

- (D) None
of these

**8. The moment of inertia of the shaded portion of the area shown in below figure about the**

*X*-axis, is- (A) 229.34 cm

^{4}

- (B) 329.34 cm

^{4}

- (C) 429.34 cm

^{4}

- (D) 529.34 cm

^{4}

**9. A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec. The work required to stop the hoop is**

- (A) 2 J

- (B) 4 J

- (C) 6 J

- (D) 8 J

**10. If a particle moves with a uniform angular velocity ‘Ï‰’ radians/sec along the circumference of a circle of radius ‘**

*r’*, the equation for the velocity of the particle, is- (A)

*v*= Ï‰ √

*(y² - r²)*

- (B)

*y*= Ï‰ √

*(y*-

*r)*

- (C)

*v*= Ï‰ √

*(r²*+

*y²)*

- (D)

*v*= Ï‰ √

*(r²*-

*y²)*

**11. A projectile is fired with a velocity of 100.3 m/sec. at an elevation of 60°. The velocity attained by the projectile when it is moving at a height of 100 m, is**

- (A) 70 m/sec

- (B) 75 m/sec

- (C) 80 m/sec

- (D) 90 m/sec

**12. A stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in**

- (A) 5 sec

- (B) 8 sec

- (C) 10 sec

- (D) 20 sec

**13. If two forces each equal to ‘**

*T’*in magnitude act at right angles, their effect may be neutralized by a third force acting along their bisector in opposite direction whose magnitude will be- (A) 2

*T*

- (B) 1/2

*T*

- (C) √2

*T*

- (D) 3

*T*

**14. When a body of mass**

*M*_{1}is hanging freely and another of mass*M*_{2}lying on a smooth inclined plane(Î±) are connected by a light index tensile string passing over a smooth pulley, the acceleration of the body of mass*M*_{1}, will be given by- (A)

*g*(

*M*

_{1}+

*M*

_{2 }sin Î±)/(

*M*

_{1}+

*M*

_{2})

*m/sec*

- (B)

*g*(

*M*

_{1}-

*M*

_{2 }sin Î±)/(

*M*

_{1}+

*M*

_{2})

*m/sec²*

- (C)

*g*(

*M*

_{2}+

*M*

_{1 }sin Î±)/(

*M*

_{1}+

*M*

_{2})

*m/sec²*

- (D)

*g*(

*M*

_{2}×

*M*

_{1 }sin Î±)/(

*M*

_{2}-

*M*

_{1})

*m/sec²*

**15. One end of an elastic string of natural length ‘**

*l’*and modulus ‘*X*’ is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance ‘*x’*, held at rest and then released.

**The motion is**

- (A) A simple harmonic motion

- (B) A rectilinear motion with constant speed

- (C) A damped oscillatory motion

- (D) None of the above

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