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  • A spinning solid spherical ball having angular velocity  is projec

A spinning solid spherical ball having angular velocity \frac{V_{0}}{2r} is projected on a horizontal rough surface with velocity v_{0}. The velocity of centre of mass of the ball when slipping ceases, will be

Option: 1

v_{0}


Option: 2

\frac{5}{3}v_{0}


Option: 3

\frac{6}{7}v_{0}

 


Option: 4

\frac{3}{5}v_{0}


Answers (1)

best_answer

Answer (3)

Applying conservation of angular momentum about any point on surface

mv_{0}r+\frac{2}{5}mr^{2}.\frac{v_{0}}{2r}=mvr+\frac{2}{5}mr^{2}.\frac{v}{r}

\Rightarrow \frac{6mv_{0}r}{5}=\frac{7}{5}mvr\Rightarrow v=\frac{6}{7}v_{0}

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manish

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