Edexcel M3 2022 January — Question 1

Exam BoardEdexcel
ModuleM3 (Mechanics 3)
Year2022
SessionJanuary
TopicWork, energy and Power 2

  1. A light elastic string \(A B\) has natural length \(11 a\) and modulus of elasticity \(6 m g\)
A particle of mass \(4 m\) is attached to the point \(C\) on the string where \(A C = 8 a\) and a particle of mass \(2 m\) is attached to the end \(B\) \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{a1365c54-4910-449b-b270-c56c1bc5a751-02_581_202_429_957} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} The end \(A\) of the string is attached to a fixed point and the string hangs vertically below \(A\) with the particle of mass \(4 m\) in equilibrium at the point \(P\) and the particle of mass \(2 m\) in equilibrium at the point \(Q\), as shown in Figure 1.
  1. Find the length \(A P\)
  2. Find the length \(P Q\)