A particle of mass m can move on a rough horizontal table and is attached to a fixed point on the table by a light inextensible string of length b. The resistance force exerted on the particle is −mKv, where v is the velocity of the particle. Initially the string is taut and the particle is projected horizontally, at right angles to the string, with speed u. Find the angle turned through by the string before the particle comes to rest. Find also the tension in the string at time t.