In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A particle of mass 5 kg rests in equilibrium on a smooth plane inclined at an angle of 25° 25°\,25° to the horizontal. It is held in place by a force of magnitude P P\,P newtons acting up a line of greatest slope.
Find the value of PPP.
Find the magnitude of the normal reaction of the plane on the particle.
State one assumption you have made in modelling the plane as smooth.
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.