Edexcel M1 — Question 1

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

1. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{6fb27fe5-055a-4701-bd80-e66ebd57292a-2_403_550_214_609} \captionsetup{labelformat=empty} \caption{Fig. 1}
\end{figure} Figure 1 shows a light, inextensible string fixed at one end to a point \(P\). The other end is attached to a small object of weight 10 N . The object is subjected to a horizontal force \(H\) so that the string makes an angle of \(30 ^ { \circ }\) with the vertical.
  1. Find the magnitude of the tension in the string.
  2. Show that the ratio of the magnitude of the tension to the magnitude of \(H\) is \(2 : 1\).