In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
Two particles AAA, of mass 2 kg, and BBB, of mass 3 kg, are connected by a light inextensible string which passes over a smooth pulley fixed at the top of a rough plane inclined at 40° 40°\,40° to the horizontal.
A A\,A lies on the plane with the string parallel to a line of greatest slope, and B B\,B hangs freely with the string vertical. When the system is released, A A\,A accelerates up the plane at 2 m s−2^{-2}−2.
Find the tension in the string.
Find the coefficient of friction between A A\,A and the plane.
Find the magnitude of 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.