If you spin a coin around a vertical diameter on a table, it will slowly
lose energy and begin a wobbling motion. The angle between the coin
and the table will gradually decrease, and eventually it will come to rest.
Assume that this process is slow, and consider the motion when the coin
makes an angle \(\theta
\) with the table . You may assume that
the CM is essentially motionless. Let R be the radius of the coin, and let
\(\Omega
\) be the frequency at which the contact point on the table traces out its
circle. Assume that the coin rolls without slipping. The angular velocity of the coin is \(\omega=c\Omega sin\theta\hat{x}
\)where \(\hat{x}
\) points upward along the coin, directly away from the
contact point.
If \(\omega=p\sqrt{\frac{kg}{R(sin\theta)^{k}}}
\) find [pkc]

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