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NEET Physics : System of Particles and Rotational Motion

Multiple Choice Questions

161.

Two blocks of equal masses m are released from the top of a smooth fixed wedge as shown in the figure. The acceleration of the centre of mass of the two blocks is

g
$\frac{g}{2}$
$\frac{3 g}{4}$
$\frac{g}{\sqrt{2}}$

162.

The moment of inertia of a uniform circular disc of radius R and mass M about an axis passing from the edge ofthe disc and normal to the disc is

MR²
$\frac{1}{2} {MR}^{2}$
$\frac{3}{2} {MR}^{2}$
$\frac{7}{2} {MR}^{2}$

163.

Moment of a couple is called

impulse
couple
torque
angular momentum

164.

A motor is rotating at a constant angular velocity of 500 rpm. The angular displacement per second is

$\frac{3}{50 π} rad$
$\frac{3 π}{50} rad$
$\frac{25 π}{3} rad$
$\frac{50 π}{3} rad$

165.

If the length of the second's hand in a stop-clock is 3 cm, the angular velocity and linear velocity of the tip is

0.2047 rad/s , 0.0314 ms^-1
0.2547 rad/s , 0.314 ms^-1
0.1472 rad/s , 0.06314 ms^-1
0.1047 rad/s , 0.00314 ms^-1

166.

Three identical spheres, each ofmass 1 kg are kept as shown in figure below, touching each other, with their centres on a straight line. If their centres are marked P, Q, R respectively, the distance of centre of mass of the system from P is

$\frac{PQ + PR + QR}{3}$
$\frac{PQ + PR}{3}$
$\frac{PQ + QR}{3}$
$\frac{PR + QR}{3}$

167.

The moment of inertia of a thin rod of mass M and length L, about an axis perpendicularto the rod at a distance $\frac{L}{4}$ from one end is

$\frac{{ML}^{2}}{6}$
$\frac{{ML}^{2}}{12}$
$\frac{7 {ML}^{2}}{24}$
$\frac{7 {ML}^{2}}{48}$

168.

If the earth shrinks such that its mass does not change but radius decreases to one quarter of its original value then one complete day will take

96 h
48 h
6 h
1.5 h

169.

A shell of mass 10 kg is moving with a velocity of 10 ms^-1 when it blasts and forms two parts of mass 9 kg and 1 kg respectively. If the 1^st mass is stationary, the velocity of the 2^nd is

1 m/s
10 m/s
100 m/s
1000 m/s

Short Answer Type

170.

A circular disc rolls down on an inclined plane without slipping. What fraction of its total energy is translational ?

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NEET Physics : System of Particles and Rotational Motion

Multiple Choice Questions

Short Answer Type