6
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{a69c3e7a-dfc4-438b-84ba-e88c15d421ea-04_483_828_370_246}
\captionsetup{labelformat=empty}
\caption{Fig. 6}
\end{figure}
The rim of a smooth hemispherical bowl is a circle of centre O and radius \(a\). The bowl is fixed with its rim horizontal and uppermost. A particle P of mass \(m\) is released from rest at a point A on the rim as shown in Fig. 6.
When P reaches the lowest point of the bowl it collides directly with a stationary particle Q of mass \(\frac { 1 } { 2 } m\). After the collision Q just reaches the rim of the bowl.
Find the coefficient of restitution between P and Q .