A wedge has two smooth sloping faces; one face makes an angle 30° with the horizontal and the other makes an angle 60 with the horizontal. A small smooth pulley is fixed at the apex of the wedge. A light inextensible string passes over the pulley and lies parallel to the faces of the wedge. At each end of the string there is a particle of mass 0.3kg. The system is released from rest. Show that the tension in the string is 3/4(1+√3) N.
