(i)[6]
Given that the system is in limiting equilibrium and $P$ is just about to rise, Find the coefficient of friction between $Q$ and the table.
(ii)[4]
Find the acceleration of the particles and the tension in the string.
Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
Particles $P$ and $Q$, with masses $0.2\,\text{kg}$ and $0.5\,\text{kg}$ respectively, are joined by a light inextensible string. This string goes over a smooth pulley at the edge of a rough horizontal table. $P$ hangs freely, while $Q$ rests on the table. A force of magnitude $3.2\,\text{N}$ is applied to $Q$, directed upwards and away from the pulley, making an angle of $30^\circ$ to the horizontal.