Edexcel M1 2007 January — Question 1

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
Year2007
SessionJanuary
TopicNewton's laws and connected particles

1. \begin{figure}[h]
\captionsetup{labelformat=empty} \caption{Figure 1} \includegraphics[alt={},max width=\textwidth]{7edcbe3d-dd90-41b4-9b87-fccae38927c7-02_287_625_310_662}
\end{figure} A particle of weight 24 N is held in equilibrium by two light inextensible strings. One string is horizontal. The other string is inclined at an angle of \(30 ^ { \circ }\) to the horizontal, as shown in Figure 1. The tension in the horizontal string is \(Q\) newtons and the tension in the other string is \(P\) newtons. Find
  1. the value of \(P\),
  2. the value of \(Q\).