1.
\begin{figure}[h]
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\caption{Fig. 1}
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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 \(A Q\).