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. The string 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 taut.
The system is released from rest and 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.
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.