6.
\begin{figure}[h]
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\caption{Figure 3}
\includegraphics[alt={},max width=\textwidth]{bd649c3c-6172-4522-bddc-a6d70088ef89-08_212_741_287_660}
\end{figure}
A uniform beam \(A B\) has mass 12 kg and length 3 m . The beam rests in equilibrium in a horizontal position, resting on two smooth supports. One support is at the end \(A\), the other at a point \(C\) on the beam, where \(B C = 1 \mathrm {~m}\), as shown in Figure 3. The beam is modelled as a uniform rod.
- Find the reaction on the beam at \(C\).
A woman of mass 48 kg stands on the beam at the point \(D\). The beam remains in equilibrium. The reactions on the beam at \(A\) and \(C\) are now equal.
- Find the distance \(A D\).
\includegraphics[max width=\textwidth, alt={}, center]{bd649c3c-6172-4522-bddc-a6d70088ef89-09_72_58_2632_1873}