Edexcel M3 2016 June — Question 2

Exam BoardEdexcel
ModuleM3 (Mechanics 3)
Year2016
SessionJune
TopicCentre of Mass 2

2. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{4c1c51ff-6ae8-402d-b303-b656d26e4230-03_430_739_324_607} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} Figure 1 shows a uniform triangular lamina \(A B C\) in which \(A B = 6 \mathrm {~cm} , B C = 9 \mathrm {~cm}\) and angle \(A B C = 90 ^ { \circ }\). The centre of mass of the lamina is \(G\). Use algebraic integration to find the distance of \(G\) from \(A B\).
(6)