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A person of mass 50 kg stands on a trolley of mass 30 kg which is attached to a rope passing over a pulley. The person pulls down the other end of rope as shown in fig. such that trolley starts moving up with acceleration g/4. The force which person exerts on the rope in kg.wt is

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answer is 50.

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Detailed Solution

For the system of man and trolley, $2 T - 80 g = 80 (\frac{g}{4})$

$2 T = 80 (\frac{5 g}{4}) = 100 g ∴ T = 50 g = 50 kgwt$

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