In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2
A particle P P\,P of mass 2m kg lies on a smooth horizontal table.
P P\,P is attached to one end of a light inextensible string. The string passes over a smooth pulley fixed at the edge of the table, and a particle Q Q\,Q of mass m m\,m kg hangs freely at the other end of the string.
The string between P P\,P and the pulley is horizontal, and the string between the pulley and Q Q\,Q is vertical.
A constant horizontal force of magnitude 19 N acts on P P\,P away from the pulley.
The system is released from rest with the string taut, as shown in the diagram below.
The system moves with acceleration 2 m s−2^{-2}−2, with Q Q\,Q moving downwards.
Find the value of mmm.
Find the tension in the string.
35 exam-style questions on WJEC A Level Maths 2.8 Forces and Newton's laws, covering 2.8.1 Forces and Newton's laws, 2.8.2 Forces and Newton's laws, 2.8.3 Forces and Newton's laws, 2.8.4 Forces and Newton's laws, 2.8.5 Forces and Newton's laws, and 2.8.6 Forces and Newton's laws. Each one has a worked solution and a mark scheme showing where the marks go.