5.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{962c2b40-3c45-4eed-a0af-a59068bda0e1-16_501_606_244_731}
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\caption{Figure 4}
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A particle \(P\) of mass 0.75 kg is attached to one end of a light inextensible string of length 60 cm . The other end of the string is attached to a fixed point \(A\) that is vertically above the point \(O\) on a smooth horizontal table, such that \(O A = 40 \mathrm {~cm}\). The particle remains in contact with the table, with the string taut, and moves in a horizontal circle with centre \(O\), as shown in Figure 4.
The particle is moving with a constant angular speed of 3 radians per second.
- Find (i) the tension in the string,
(ii) the normal reaction between \(P\) and the table.
The angular speed of \(P\) is now gradually increased. - Find the angular speed of \(P\) at the instant \(P\) loses contact with the table.