8 One end of a light elastic string of natural length 2.1 m and modulus of elasticity 4.8 N is attached to a particle, \(P\), of mass 1.75 kg . The other end of the string is attached to a fixed point, \(O\), which is on a rough inclined plane. The angle between the plane and the horizontal is \(\theta\) where \(\sin \theta = \frac { 3 } { 5 }\). The coefficient of friction between \(P\) and the plane is 0.732 . Particle \(P\) is placed on the plane at \(O\) and then projected down a line of greatest slope of the plane with an initial speed of \(2.4 \mathrm {~ms} ^ { - 1 }\). Determine the distance that \(P\) has travelled from \(O\) at the instant when it first comes to rest. You can assume that during its motion \(P\) does not reach the bottom of the inclined plane.