OCR MEI Paper 1 2018 June — Question 7

Exam BoardOCR MEI
ModulePaper 1 (Paper 1)
Year2018
SessionJune
TopicMoments

7 A rod of length 2 m hangs vertically in equilibrium. Parallel horizontal forces of 30 N and 50 N are applied to the top and bottom and the rod is held in place by a horizontal force \(F \mathrm {~N}\) applied \(x \mathrm {~m}\) below the top of the rod as shown in Fig. 7. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{904025c9-6d68-4344-bd41-8c0fccfcf92f-05_445_390_609_824} \captionsetup{labelformat=empty} \caption{Fig. 7}
\end{figure}
  1. Find the value of \(F\).
  2. Find the value of \(x\).