System of Particles and Rotational Motion

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Question

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Question 1 : A body of M.I. 3 kg m² rotating with an angular velocity 2 rad/s has the same K.E. as a mass of 12 kg moving with a velocity of
1. 1 m/s
2. 2 m/s
3. 4 m/s
4. 8 m/s
Answer
8265

Question 2 : A particle performing uniform circular motion has angular momentum L. If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum is
1. L/2
2. L/4
3. 2 L
4. 4 L
Answer
8266

Question 3 : A thin uniform, circular ring is rolling down an inclined plane of inclination 300 without slipping. Its linear acceleration along the inclined plane will be
1. g/2
2. g/3
3. g/4
4. 2g/4
Answer
8267

Question 4 : Moment of inertia depends on
1. Distribution of particles
2. Mass
3. Position of axis of rotation
4. All of these
Answer
8268

Question 5 : Calculate the M.I. of a thin uniform ring about an axis tangent to the ring and in a plane of the ring, if its M.I. about an axis passing through the centre and perpendicular to plane is 4 kg m².
1. 3 kg m²
2. 6 kg m²
3. 9 kg m²
4. 12 kg m²
Answer
8269