A gramophone record is rotating with an angul | vedclass

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(C) For the coin to revolve with the record without slipping,the required centripetal force must be provided by the static friction force.The conditio

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$r \le \frac{\mu g}{\omega^2}$

Vedclass · Answer

(C) For the coin to revolve with the record without slipping,the required centripetal force must be provided by the static friction force.The condition for the coin to remain stationary relative to the record is:$f_s \ge F_c$where $f_s$ is the static friction force and $F_c$ is the centripetal force.The maximum static friction force is $f_{s,max} = \mu N = \mu mg$.The centripetal force required is $F_c = mr\omega^2$.Therefore,the condition is:$\mu mg \ge mr\omega^2$Dividing both sides by $m\omega^2$ (assuming $m 
eq 0$ and $\omega 
eq 0$):$r \le \frac{\mu g}{\omega^2}$

$A$ gramophone record is rotating with an angular velocity $\omega$. $A$ coin is placed at a distance $r$ from the center of the record. The coefficient of static friction is $\mu$. The coin will revolve with the record if .......

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