2.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{a9f91ceb-662a-40cd-956b-815052b8f1a0-01_173_520_360_1891}
\captionsetup{labelformat=empty}
\caption{Fig. 1}
\end{figure}
A uniform \(\operatorname { rod } A B\) has weight 70 N and length 3 m . It rests in a horizontal position on two smooth supports placed at \(P\) and \(Q\), where \(A P = 0.5 \mathrm {~m}\), as shown in Fig. 1 . The reaction on the rod at \(P\) has magnitude 20 N . Find
- the magnitude of the reaction on the rod at \(Q\),
- the distance \(A Q\).
.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{a9f91ceb-662a-40cd-956b-815052b8f1a0-01_190_476_964_1905}
\captionsetup{labelformat=empty}
\caption{Fig. 2}
\end{figure}
A particle \(P\) of mass 2 kg is held in equilibrium under gravity by two light inextensible strings. One string is horizontal and the other is inclined at an angle \(\alpha\) to the horizontal, as shown in Fig. 2. The tension in the horizontal string is 15 N . The tension in the other string is \(T\) newtons. - Find the size of the angle \(\alpha\).
(6 marks) - Find the value of \(T\).
You must ensure that your answers to parts of questions are clearly labelled.
You must show sufficient working to make your methods clear to the Examiner. Answers without working may gain no credit.