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Question

A small block is moving with uniform speed along a circle of radius R with a time period 2.5s. in horizontal plane on smooth table surface with the help of a light horizontal string. If the radius of circle is reduced by 20%. The final time period of same block is:

A
1.2s
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B
1.6s
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C
2.8s
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D
3.2s
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Solution

The correct option is B 1.6s
I1=mr2
w=4π5
No external torque is applied, so the Angular Momentum is conserved
I1w1=I2w2
mr2w1=1625mr2w2
w2=2516w1
w2=54π r/s
T2=1.6 sec

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