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  • In the game of billiards, a person hits the  ball (solid sphere) with cue such that it rolls without slipping on the table. If the radius of the ball is 10 cm and mass is 100 g. Where he would

In the game of billiards, a person hits the  ball (solid sphere) with cue such that it rolls without slipping on the table. If the radius of the ball is 10 cm and mass is 100 g. Where he would have hit it above the surface. [Assume the surface is sufficiently rough]


 

Option: 1

4 cm


Option: 2

6 cm


Option: 3

14 cm


Option: 4

16 cm


Answers (1)

best_answer

centre of percussion is let say ' y ' above the centre of the ball.

y=\frac{I_{c m}}{M R}=\frac{2}{5} \,\,\frac{M R^2}{M R}=\frac{2}{5} R \\

y=\frac{2}{5} \times 10 \mathrm{~cm}=4 \mathrm{~cm} \\

h=y+R=4 \mathrm{~cm}+10 \mathrm{~cm}=14 \mathrm{~cm}
 

Posted by

vishal kumar

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