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A man pulls himself, and the cradle he is sitting in, by pulling down on the rope which is tied to the cradle and would over a fixed pulley. If the man weights 60 kg and the cradle weighs 25 kg then how much force must the man exert on the rope to pull himself up at an acceleration of l m/s 2 .

A man pulls himself, and the cradle he is sitting in, by pulling down on the rope which is tied to the cradle and would over a fixed pulley. If the man weights 60 kg and the cradle weighs 25 kg then how much force must the man exert on the rope to pull himself up at an acceleration of l m/s2.


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Grade:10

1 Answers

Sid
38 Points
7 years ago

the man will only go up when Tension in string overcomes the combined mass of cradle and man.

So, T-mg=ma

where T is tension in string

    mg is combined weight of man and cradle

    ma is net force

m=60+25=85kg,   a=1m/s^2,   g=10m/s^2 approx

So T=m(a+g)

find T

and so force exerted by man would be equal to T

 

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