AQA M1 2014 June — Question 2

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2014
SessionJune
TopicNewton's laws and connected particles

2 Three forces are in equilibrium in a vertical plane, as shown in the diagram. There is a vertical force of magnitude 40 N and a horizontal force of magnitude 60 N . The third force has magnitude \(F\) newtons and acts at an angle \(\theta\) above the horizontal.
\includegraphics[max width=\textwidth, alt={}, center]{788534a5-abbb-4d6a-87b2-c54e859a128a-04_490_894_456_571}
  1. \(\quad\) Find \(F\).
  2. \(\quad\) Find \(\theta\).