3.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{c14975b7-6afa-44ce-beab-1cba2e82b249-10_433_753_246_657}
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\caption{Figure 2}
\end{figure}
Figure 2 shows a hemispherical bowl of internal radius \(10 d\) that is fixed with its circular rim horizontal.
The centre of the circular rim is at the point \(O\).
A particle \(P\) moves with constant angular speed on the smooth inner surface of the bowl.
The particle \(P\) moves in a horizontal circle with radius \(8 d\) and centre \(C\).
- Find, in terms of \(g\), the exact magnitude of the acceleration of \(P\).
The time for \(P\) to complete one revolution is \(T\).
- Find \(T\) in terms of \(d\) and \(g\).