Edexcel M1 2022 January — Question 1

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
Year2022
SessionJanuary
TopicNewton's laws and connected particles

1. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{f1bdc84b-c8a1-4e7c-a2ba-48b40c6a6d36-02_486_638_248_653} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} A particle \(P\) of weight 5 N is attached to one end of a light inextensible string. The other end of the string is attached to a fixed point \(O\). The particle \(P\) is held in equilibrium by a force of magnitude \(F\) newtons. The direction of this force is perpendicular to the string and \(O P\) makes an angle of \(60 ^ { \circ }\) with the vertical, as shown in Figure 1. Find
  1. the value of \(F\)
  2. the tension in the string.