In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
Two particles PPP, of mass 6 kg, and QQQ, of mass 2 kg, are connected by a light inextensible string which passes over a smooth pulley fixed at the top of a wedge.
One face of the wedge is smooth and inclined at 30° 30°\,30° to the horizontal; the other face is rough and inclined at 45° 45°\,45° to the horizontal. P P\,P lies on the smooth face and Q Q\,Q lies on the rough face, with the string taut and parallel to a line of greatest slope of each face.
The coefficient of friction between Q Q\,Q and the rough face is 0.3.
Find the tension in the string.
Find the acceleration of the system, and state the direction in which P P\,P moves.
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.