Edexcel M1 2001 January — Question 2

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
Year2001
SessionJanuary
TopicNewton's laws and connected particles

2. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{49169cc3-c353-430f-80ce-e14ae7fcd6ea-2_293_725_1267_666} \captionsetup{labelformat=empty} \caption{Fig. 2}
\end{figure} A particle \(P\) of mass 2 kg is held in equilibrium under gravity by two light inextensible strings. One string is horizontal and the other is inclined at an angle \(\alpha\) to the horizontal, as shown in Fig. 2. The tension in the horizontal string is 15 N . The tension in the other string is \(T\) newtons.
  1. Find the size of the angle \(\alpha\).
  2. Find the value of \(T\).