Question

A uniform circular platform of mass 100 kg and radius 3.0 m is mounted on a...

A uniform circular platform of mass 100 kg and radius 3.0 m is mounted on a frictionless vertical axle and is initially stationary. A girl of mass 40 kg stands on the rim of the platform. She begins to walk along the rim at a speed of 1.5 m/s relative to the ground in clockwise direction. What is the resulting angular velocity of the platform.

Science   Advanced-Physics   
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Answer #1

It can be solved using conservation of angular momentum.

About the center of disc, angular momentum of girl is

In cylindrical polar coordinated.

therefore

The angular momentum of platform is

as initial angular momentum was 0

final must be 0.

so

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