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 an acceleration 5 g 4 relative to the rope. The tension in the rope is near to (take g = 10 m s - 2 )

Question

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 an acceleration 5 g 4 relative to the rope. The tension in the rope is near to (take g = 10 m s - 2 ), 1432 N, 928 N, 1218 N, 642 N

MARKS App · Accepted Answer

assume block of mass 100 kg is moving upward with acceleration a with respect to ground and tension in the rope is T . Then, for man T - 60 g = 60 5 g 4 - a ....... ( 1 ) ( ∵ man is climbing on the rope with acceleration 5 g 4 ) for block T - 100 g = 100 a ...... ( 2 ) solving equation ( 1 ) and ( 2 ) T = 1218 . 7 N ≈ 1218 N

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