3 In this question use \(g = 9.8 \mathrm {~m} \mathrm {~s} ^ { - 2 }\).
A composite body consists of a uniform rod, \(A B\), and a particle.
The rod has length 4 metres and mass 22.5 kilograms.
The particle, \(P\), has mass 20 kilograms and is placed on the rod at a distance of 0.3 metres from \(B\), as shown in the diagram.
\includegraphics[max width=\textwidth, alt={}, center]{4fdb2637-6368-422c-99da-85b80efe31c5-04_163_1323_767_402}
3
- Find the distance of the centre of mass of the body from \(A\).
3
- The body rests in equilibrium in a horizontal position on two supports, \(C\) and \(D\).
The support \(C\) is 0.5 metres from \(A\) and the support \(D\) is 1 metre from \(B\).
Find the magnitudes of the forces exerted on the body by the supports.
[0pt]
[4 marks]