A particle A of mass 3 kg lies on a smooth plane inclined at 30∘ 30^\circ\,30∘ to the horizontal. It is connected by a light inextensible string passing over a smooth pulley at the top of the plane to a hanging particle B of mass 2 kg. The system is released from rest, with B moving downwards. Take g=9.8g=9.8g=9.8 m s−2^{-2}−2.
Find the acceleration of the particles.
Find the tension in 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.