Two particles C C\,C of mass 3 kg and D D\,D of mass 5 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 35∘ 35^\circ\,35∘ to the horizontal. C C\,C lies at rest on the plane and D D\,D hangs freely from the edge of the plane with the string taut. Particle C C\,C is released from rest and accelerates up the plane at 2 ms-2.
Find the tension in the string
Find the coefficient of friction between C C\,C and the plane
Find the force exerted on the pulley by the string
136 exam-style questions on CCEA A Level Maths 2.3 Forces and Newton's laws, covering 2.3.1 Forces and Newton's laws, 2.3.2 Forces and Newton's laws, 2.3.3 Forces and Newton's laws, 2.3.4 Forces and Newton's laws, 2.3.5 Forces and Newton's laws, 2.3.6 Forces and Newton's laws, 2.3.7 Forces and Newton's laws, 2.3.8 Forces and Newton's laws, 2.3.9 Forces and Newton's laws, 2.3.10 Forces and Newton's laws, 2.3.11 Forces and Newton's laws, 2.3.12 Forces and Newton's laws, and 2.3 Forces and Newton's laws. Each one has a worked solution and a mark scheme showing where the marks go.