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A solid sphere rolls without sliding wit...

A solid sphere rolls without sliding with constant velocity. What fraction of total K.E of sphere is rotational K.E. ?

A

`1//5`

B

`2//5`

C

`2//3`

D

`2//7`

Text Solution

Verified by Experts

The correct Answer is:
D
T.E. = Linear K.E. + Rotational K.E. `=(1)/(2)mv^(2)+(1)/(2)Iomega^(2)`
implies T.E. = `(1)/(2)mv^(2)+(1)/(5)mv^(2)=(7)/(10)mv^(2)`
implies T.E. `=(1)/(2)mv^(2)+(1)/(5)mv^(2)=(7)/(10)mv^(2)`
`therefore (E_("Rotational"))/(E_("total"))=((1)/(5)mv^(2))/((7)/(10)mv^(2))=(2)/(7)`
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