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
139 exam-style questions on AQA A Level Maths 3.3 R: Forces and Newton's laws, covering 3.3.1 Concept of a force and Newton's first law, 3.3.2 Newton's second law, 3.3.3 Weight and motion under gravity, 3.3.4 Newton's third law and equilibrium, 3.3.5 Addition of forces and resultants (A-level only), and 3.3.6 Friction (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.