A solid sphere is set into motion on a rough horizontal surface with a linear speed $v$ in the forward direction and an angular speed $\frac{V}{R}$ in the anticlockwise direction as shown in figure. Find the linear speed of the sphere when it stops rotating and $ω = \frac{V}{R}$ .

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TestHub · Accepted Answer

If we take moment at A , then extemal torque will be zero. Therefore, the initial angular momentum = the angular momentum after rotation stop (i.e. only linear velocity exist) ⇒ ⇒ ⇒ ​ M v × R − ( 5 2 ​ ) I ω M v R − 5 2 ​ M R 2 × R V ​ v 0 ​ ​ = M v 0 ​ × R = M v 0 ​ R = 5 3 v ​ ​

Physics - Rotation Question with Solution | TestHub

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