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A solid sphere is in pure rolling motion...

A solid sphere is in pure rolling motion on an inclined surface having inclination `theta`

A

frictional force acting on sphere is `f = mun g cos theta`

B

f is dissipative force

C

friction will increase its angular velocity and decrease its linear velocity

D

If `theta` decreases, friction will decreases.

Text Solution

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The correct Answer is:
C, D
In case of pure rolling.
`f=(mg sin theta)/(1+(mR^(2))/I)` (upwards) `therefore f propto sintheta`
Therefore, as `theta` decreases force of friction will also decreases.
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