In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A particle of mass 8 kg hangs in equilibrium under the action of three forces: its weight, a force of magnitude P P\,P newtons acting at 30° 30°\,30° above the horizontal, and a force of magnitude Q Q\,Q newtons acting at 60° 60°\,60° above the horizontal on the opposite side of the vertical.
Find the value of P P\,P and the value of QQQ.
Show that the two applied forces are perpendicular, and verify your answers to part (a) using this fact.
87 exam-style questions on OCR (MEI) A Level Maths 3.4 Forces, covering 3.4.1 Language relating to forces, 3.4.2 Acceleration due to gravity, 3.4.3 Identify forces and draw force diagrams, 3.4.4 Resultant of concurrent forces, 3.4.5 Equilibrium of a particle, 3.4.6 Resolve a force into components (A-level only), 3.4.7 Equilibrium condition for resultant zero (A-level only), 3.4.8 Forces in equilibrium sum to zero (A-level only), 3.4.9 Equations for a particle in equilibrium (A-level only), 3.4.10 Frictional force and normal contact force (A-level only), 3.4.11 Model friction with F ≤ μR (A-level only), and 3.4.12 Apply Newton's Laws to friction problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.