Two particlesPandQof equal mass are connected by a light inextensible string. The string passes over a small smooth pulley which is fixed at the top of a fixed wedge. One face of the wedge is smooth and inclined to the horizontal at an angle of 30° and the other face of the wedge is rough and inclined to the horizontal at an angle of 60°. ParticlePlies on the rough face and particleQlies on the smooth face with the string connecting them taut. The coefficient of friction betweenPand the rough face is 0.5.

aFind the acceleration of the system.

bFind the tension in the string.

for Q resolving vertically : T-mgcos60 = ma

for P, resolving horizontal : S = mgcos60

and resolving vertically for P : mg- t + mgcos30 = ma

mg = 2s

is this so far correct? Am not sure if these equation are correct, or what to do next?

Any help appreciated.

Thanks