Two blocks P P\,P of mass 4 kg and Q Q\,Q of mass 6 kg are connected by a light inextensible string. The string passes over a smooth pulley fixed at the top of a rough inclined plane. The plane is inclined at an angle of 25∘ 25^\circ\,25∘ to the horizontal. Block P P\,P lies on the plane and Q Q\,Q hangs freely from the pulley with the string taut. Block P P\,P is released from rest and accelerates up the plane at 1.5 ms-2.
Find the tension in the string
Find the coefficient of friction between P P\,P 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.