In order to raise a mass of 100 kg, a man of mass 60 kg fastens a rope to it and passes the rope over a smooth pulley. He climbs the rope with acceleration 5g/4 relative to the rope. The tension in the rope is (take g=10 ms-2)

Let T be the tension in the rope and a the acceleration of rope.The absolute acceleration of man is, therefore 5g4−a.Equations of motion for mass and man gives:T−100g=100a    .....(i)T−60g=605g4−a   .....(ii)Solving Eqs (i) and (ii), we get T=48754N