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A ball rolls without slipping. The radiu...

A ball rolls without slipping. The radius of gyration of the ball about about an axis passing through its center of mass is K. If radius of the ball be R, then the fraction of total energy associated with its rotational energy be

A

`(K^(2))/(R^(2))`

B

`(K^(2))/(K^(2)+R^(2))`

C

`(R^(2))/(K^(2)+R^(2))`

D

`(K^(2)+R^(2))/(R^(2))`

Text Solution

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The correct Answer is:
B
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ERRORLESS -ROTATIONAL MOTION-Practice Problems (Problems based on kinetic energy, work and power)
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  17. A solid sphere of mass 1 kg rolls on a table with linear speed 1 m/s. ...

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