Edexcel M1 2015 June — Question 3

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
Year2015
SessionJune
TopicNewton's laws and connected particles

3. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{de3245a7-cf6e-423e-8689-9a074bdbc23b-04_540_958_116_482} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} A particle of mass 2 kg is suspended from a horizontal ceiling by two light inextensible strings, \(P R\) and \(Q R\). The particle hangs at \(R\) in equilibrium, with the strings in a vertical plane. The string \(P R\) is inclined at \(55 ^ { \circ }\) to the horizontal and the string \(Q R\) is inclined at \(35 ^ { \circ }\) to the horizontal, as shown in Figure 1. \section*{Find}
  1. the tension in the string \(P R\),
  2. the tension in the string \(Q R\).