OCR M1 2015 June — Question 4

Exam BoardOCR
ModuleM1 (Mechanics 1)
Year2015
SessionJune
TopicNewton's laws and connected particles

4
\includegraphics[max width=\textwidth, alt={}, center]{8b79facc-e37f-45c3-95c0-9f2a30ca8fe4-3_394_963_276_552} Two forces of magnitudes 6 N and 10 N separated by an angle of \(110 ^ { \circ }\) act on a particle \(P\), which rests on a horizontal surface (see diagram).
  1. Find the magnitude of the resultant of the 6 N and 10 N forces, and the angle between the resultant and the 10 N force. The two forces act in the same vertical plane. The particle \(P\) has weight 20 N and rests in equilibrium on the surface. Given that the surface is smooth, find
  2. the magnitude of the force exerted on \(P\) by the surface,
  3. the angle between the surface and the 10 N force.