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
49 exam-style questions on OCR (MEI) A Level Maths 3.5 Newton's Laws of Motion, covering 3.5.1 Meaning of Newton's three laws, 3.5.2 Equation of motion, 3.5.3 Equation of motion for a particle in a straight line, 3.5.4 Model a system of connected particles, 3.5.5 Equations of motion for individual particles, 3.5.6 System with no relative motion as a single particle, and 3.5.7 Equation of motion in a straight line or plane (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.