5.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{61cb5bce-2fad-48f0-b6a4-e9899aa0acec-14_296_1283_255_333}
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\caption{Figure 2}
\end{figure}
A uniform rod \(A B\) has length 5 m and mass 5 kg . The rod rests in equilibrium in a horizontal position on two supports \(C\) and \(D\), where \(A C = 1 \mathrm {~m}\) and \(D B = 2 \mathrm {~m}\), as shown in Figure 2 .
A particle of mass 10 kg is placed on the rod at \(A\) and a particle of mass \(M \mathrm {~kg}\) is placed on the rod at \(B\). The rod remains horizontal and in equilibrium.
- Find, in terms of \(M\), the magnitude of the reaction on the rod at \(C\).
- Find, in terms of \(M\), the magnitude of the reaction on the rod at \(D\).
- Hence, or otherwise, find the range of possible values of \(M\).
\includegraphics[max width=\textwidth, alt={}, center]{61cb5bce-2fad-48f0-b6a4-e9899aa0acec-14_2256_51_310_1983}