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Q.

A boy of mass 30kg is running with a velocity of 3 ms-1 on ground just tangentially to a merry - go -round which is at rest. It has radius R = 2m, a masses of 120 kg and its radius of gyration is 1m. If the boy suddenly jumps on to the merry -go - round, the angular velocity acquired by the system is

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a

3/4 rad s–1

b

0.5 rad s–1

c

4/3 rad s–1

d

1 rad s–1

answer is C.

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Detailed Solution

From Law of conservation of angular momentum :

 ⇒Li = Lf 

⇒mvR = (mR2 + Mk2)ω

ω=(30)(3)(2)(30)(2)2+(120)(1)2=34 rad/sec

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