3.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{e5b08946-7311-4cf7-9c5f-5f309a1feed7-05_951_750_121_635}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
A particle \(P\) of mass 3 kg is attached by two light inextensible strings to two fixed points \(A\) and \(B\) on a fixed vertical pole. Both strings are taut and \(P\) is moving in a horizontal circle with constant angular speed \(6 \mathrm { rad } \mathrm { s } ^ { - 1 }\). String \(A P\) is inclined at \(30 ^ { \circ }\) to the vertical. String \(B P\) has length 0.4 m and \(A\) is 0.4 m vertically above \(B\), as shown in Figure 2 .
Find the tension in
- \(A P\),
- \(B P\).