A particle of mass 5 kg lies on a smooth horizontal table. It is connected by means of a light inextensible string passing over a smooth light pulley at the edge of the table to a second smooth pulley of mass 1 kg which is hanging freely. Over this second pulley passes another light inextensible string carrying masses of 1 kg and 3 kg, as shown in the diagram. (a) 5 kg 1 kg If the system is released from rest with the 5 kg mass (i) 1 kg 3 kg 1 m from the edge of the table, find the time it takes for the 5 kg mass to reach the edge of the table. (ii) Find the speed of the 5 kg mass as it reaches the edge of the table. A smooth wedge of mass 10 kg and slope (b) 3 tan-1, is placed on a smooth horizontal surface. A particle of mass 5 kg is placed on one face of the wedge, and is connected by a light inextensible string which passes over a light frictionless pulley to a second particle of mass 2 kg which hangs vertically and touches the side of the wedge. 5 kg 2 kg 10 kg 3 tan-1. 4 (i) Show, on separate diagrams, the forces acting on the wedge, the 5 kg mass and the 2 kg mass. 4.