OCR MEI Further Mechanics Major Specimen — Question 3

Exam BoardOCR MEI
ModuleFurther Mechanics Major (Further Mechanics Major)
SessionSpecimen
TopicWork, energy and Power 2

3 The fixed points E and F are on the same horizontal level with \(\mathrm { EF } = 1.6 \mathrm {~m}\). A light string has natural length 0.7 m and modulus of elasticity 29.4 N . One end of the string is attached to E and the other end is attached to a particle of mass \(M \mathrm {~kg}\). A second string, identical to the first, has one end attached to F and the other end attached to the particle. The system is in equilibrium in a vertical plane with each string stretched to a length of 1 m , as shown in Fig. 3. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{76875226-2e6c-4571-9318-ecce51ba8b9f-02_552_1326_1210_388} \captionsetup{labelformat=empty} \caption{Fig. 3}
\end{figure}
  1. Find the tension in each string.
  2. Find \(M\).