AQA M1 2012 June — Question 4

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2012
SessionJune
TopicNewton's laws and connected particles

4 A particle, of weight \(W\) newtons, is held in equilibrium by two forces of magnitudes 10 newtons and 20 newtons. The 10 -newton force is horizontal and the 20 -newton force acts at an angle \(\theta\) above the horizontal, as shown in the diagram. All three forces act in the same vertical plane.
\includegraphics[max width=\textwidth, alt={}, center]{828e8db1-efcf-4878-8292-ba5bbd80115c-3_406_608_520_717}
  1. \(\quad\) Find \(\theta\).
  2. \(\quad\) Find \(W\).
  3. Calculate the mass of the particle.