Two masses M1 M_1\,M1 of 2 kg and M2 M_2\,M2 of 4 kg are connected by a light inextensible string. The string passes over a smooth pulley at the top of a rough plane inclined at 45∘ 45^\circ\,45∘ to the horizontal. M1 M_1\,M1 rests on the plane and M2 M_2\,M2 hangs freely. The system is released from rest and M1 M_1\,M1 accelerates up the plane at 2.5 ms-2.
Find the tension in the string
Find the coefficient of friction between M1 M_1\,M1 and the plane
Find the force exerted on the pulley by the string
130 exam-style questions on Edexcel A Level Maths Applications of Forces, covering 7.1 Static Particles, 7.2 Modelling with Statics, 7.3 Friction and Static Particles, 7.4 Static Rigid Bodies, 7.5 Dynamics and Inclined Planes, and 7.6 Connected Particles 2. Each one has a worked solution and a mark scheme showing where the marks go.