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A uniform solid sphere of mass m and rad...

A uniform solid sphere of mass m and radius r = 3m is projected along a rough horizontal surface with the initial velocity `v_(0) = 6m//s` and angular `omega_(0)` velocity as shown in the figure. If the sphere finally comes to complete rest then angular velocity is x rad/s. Find x.

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The correct Answer is:
5
Conserving angular momentum about point A on the ground,
`mV_(0)-I_(m)omega_(0)=0+0`
`mV_(0) -2/5 mr^(2)omega_(0)=0`
`omega_(0) =(5v_(0))/(2r)=5 md//s`
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