A particle of mass m m\,m kg rests on a rough plane inclined at 30° 30°\,30° to the horizontal. A horizontal force of magnitude P P\,P N acts on the particle in the vertical plane containing a line of greatest slope, pushing it into the plane. The coefficient of friction is 13\displaystyle \frac1331.
Find, in terms of m m\,m and ggg, the set of values of P P\,P for which the particle remains in equilibrium.
106 exam-style questions on WJEC A Level Maths 4.9 Forces and Newton's laws (A-level only), covering 4.9.1 Forces and Newton's laws (A-level only), 4.9.2 Forces and Newton's laws (A-level only), 4.9.3 Forces and Newton's laws (A-level only), 4.9.4 Forces and Newton's laws (A-level only), and 4.9.5 Forces and Newton's laws (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.