AQA M1 2010 June — Question 4

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2010
SessionJune
TopicNewton's laws and connected particles

4 A particle, of mass \(m \mathrm {~kg}\), remains in equilibrium under the action of three forces, which act in a vertical plane, as shown in the diagram. The force with magnitude 60 N acts at \(48 ^ { \circ }\) above the horizontal and the force with magnitude 50 N acts at an angle \(\theta\) above the horizontal.
\includegraphics[max width=\textwidth, alt={}, center]{5d474771-fe32-47c6-8bf3-60ff7a25dd12-08_576_647_548_701}
  1. By resolving horizontally, find \(\theta\).
  2. Find \(m\).
    \includegraphics[max width=\textwidth, alt={}]{5d474771-fe32-47c6-8bf3-60ff7a25dd12-09_2484_1709_223_153}
    \begin{center} \begin{tabular}{|l|l|} \hline & \begin{tabular}{l}