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In the above problem, if coefficient of ...

In the above problem, if coefficient of friction for both the spheres is same and let `t_(1)` and `t_(2)` be the times when pure rolling of solid sphere and of hollow sphere is started. Then

A

`t_(1) = t_(2)`

B

`t_(1) lt t_(2)`

C

`t_(1) gt t_(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Friction force `mu` mg acts in forward direction till pure rolling is started. Hence, linear acceleration
`a=(mumg)/(m) = mug therefore v=at` or `t=v/a = omega_(0)/(mug(1/R + (mR)/I)`
Again `I_("solid") lt I_("hollow") therefore t_("solid") lt t_("hollow")` or `t_(1) lt t_(2)`
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