A circular disc A of radius r is made from an iron plate of thickness t and another circular disc B of radius 2r and thickness $\frac{\mathrm{t}}{4}$. The relation between moments of inertia ${\mathrm{I}}_{\mathrm{A}}$ and ${\mathrm{I}}_{\mathrm{B}}$ is

1.

2.

3.

4.  Depends on the actual values of t and r

Concept Questions :-

Moment of inertia
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A stationary bomb explodes into two parts of masses 3kg and 1kg. The total KE of the two parts after explosion is 2400 J. The KE of smaller part is

1. 600 J

2. 1800 J

3. 1200 J

4. 2160 J

Concept Questions :-

Linear momentum
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Two balls of equal masses have a head-on collision with speed 6 m/s each. If the coefficient of restitution is 1/3, the speed of each ball after impact will be

1. 18 m/s

2. 2 m/s

3. 6 m/s

4. data insufficient

Concept Questions :-

Linear momentum
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A wheel is rotating 900 rpm about its axis. When power is cut off it comes to rest in 1 min. The angular retardation in rad/s2 is

1. $\mathrm{\pi }/2$

2. $\mathrm{\pi }/4$

3. $\mathrm{\pi }/6$

4. $\mathrm{\pi }/8$

Concept Questions :-

Rotation motion : Introduction
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A particle of mass 2 kg located at the position  m has a velocity of 2 m/s. Its angular momentum about z-axis in kg-${\mathrm{m}}^{2}/\mathrm{s}$ is :

1. +4

2. +8

3. -4

4. -8

Concept Questions :-

Angular momentum
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A cylinder of mass 'M' is suspended by two strings wrapped around it as shown. The acceleration 'a' and the tension T when the cylinder falls and the string unwinds itself is

1.

2.

3.

4.

Concept Questions :-

Torque
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An automobile engine develops 100 kW when rotating at a speed of 1800 rev/min. What torque does it deliver ?

1. 350 N-m

2. 440 N-m

3. 531 N-m

4. 628 N-m

Concept Questions :-

Torque
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In an orbital motion, the angular momentum vector is

2. Parallel to the linear momentum

3. In the orbital plane

4. Perpendicular to the orbital plane

Concept Questions :-

Angular momentum
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A particle of mass m moves with a constant velocity along 3 different paths DE, OA & BC. Which of the following statements is not correct about its angular momentum about point O?

(A) It is zero when it is at A and moving along OA.

(B) The same at all points along the line DE.

(C) Of the same magnitude but oppositely directed at B and  D.

(D) Increases as it moves along the line BC.

Concept Questions :-

Angular momentum