Answer :
Given:
Radius of wheel= R
Angular speed=
When it is placed on the rough surface, due to friction of the surface, its acceleration decreases.
We consider the point A where external torque is zero. Using the law of conservation of angular momentum. Before rolling and after rolling, the angular momentum remains constant.
Therefore, angular momentum=
After pure rolling the velocity of the wheel let v
Hence, angular momentum=
=
Equating equation (1) and (2)
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