If a person standing on a rotating disc stretches out his hands, the angular speed will

1.  increase

2.  decrease

3.  remain same

4.  None of these

Concept Questions :-

Angular momentum
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If the earth were to suddenly contract to 1nth of its present size without any change in its mass, the duration of the new day will be nearly

1.  24/n hours

2.  24 n hours

3.  24/n2 hours

4.   24 n2 hours

Concept Questions :-

Angular momentum
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A constant torque of 31.4 N-m is exerted on a pivoted wheel. If angular acceleration of wheel is 4π rad/sec2, then the moment of inertia of the wheel is

(1) 2.5 kg-m2

(2) 3.5 kg-m2

(3) 4.5 kg-m2

(4) 5.5 kg-m2

Concept Questions :-

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The moment of inertia of a flywheel having kinetic energy 360 J and angular speed of 20 rad/s is

1.  18 kgm2

2.   1.8 kgm2

3.   2.5 kgm2

4.   9 kgm2

Concept Questions :-

Angular momentum
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A sqaure lamina is as shown in figure. The moment of inertia of the frame about the three axes shown in figure are I1, I2 and I3 respectively. Select the correct alternative.

(1) I2=I3>I1

(2) I1>I2>I3

(3) I2=I3<I1

(4) I1<I2<I3

Concept Questions :-

Moment of inertia
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Three interacting particles of masses 1.0 kg, 2.0 kg and 4.0 kg have each a velocity of 1 ms-1 magnitude along the positive direction of x, y and z-axis respectively. Due to forces of interaction third particle stops and the velocity of second particle becomes 2j^+k^ ms-1, the velocity of the first particle is

(1) 4i^+j^+k^

(2) i^-2j^+2k^

(3) 2i^+3j^-k^

(4) -i^+3j^+k^

Concept Questions :-

Linear momentum
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A particle performs uniform circular motion with an angular momentum L. If the frequency of the particle motion is double, the angular momentum becomes

(1) 2L

(2) 4L

(3) L2

(4) L4

Concept Questions :-

Angular momentum
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In figure (a), a meter stick, half of which is wood and the other half steel is pivoted at the wooden end at O and a force F is applied to the steel end a. In figure (b) the stick is pivoted at the steel eid at O' and the same force F is applied at the wooden end at a' The angular acceleration

1.  in (a) is greater than in (b)

2.  in (b) is greater than in (a)

3.  equal both in (a) and (b)

4.  none of the above.

Concept Questions :-

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A 20 kg solid disc rolls on a horizontal surface at the rate of 4 ms-1. Its total kinetic energy is 

1.  60 J

2.  120 J

3.  240 J

4.  80 J

Concept Questions :-

Rolling motion
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A sphere rolls down on an inclined plane of inclination θ. What is the acceleration as the sphere reaches the bottom?

1.  57g sin θ

2.  35g sin θ

3.  27g sin θ

4.  25g sin θ

Concept Questions :-

Rolling motion
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