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.
136 exam-style questions on CCEA A Level Maths 2.3 Forces and Newton's laws, covering 2.3.1 Forces and Newton's laws, 2.3.2 Forces and Newton's laws, 2.3.3 Forces and Newton's laws, 2.3.4 Forces and Newton's laws, 2.3.5 Forces and Newton's laws, 2.3.6 Forces and Newton's laws, 2.3.7 Forces and Newton's laws, 2.3.8 Forces and Newton's laws, 2.3.9 Forces and Newton's laws, 2.3.10 Forces and Newton's laws, 2.3.11 Forces and Newton's laws, 2.3.12 Forces and Newton's laws, and 2.3 Forces and Newton's laws. Each one has a worked solution and a mark scheme showing where the marks go.