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Am man is climbing a rope that passes over a pulley and attaches to a block of same mass.at initial both are at rest then the man starts climbing the rope with an acceleration of 2ms-² with respect to rope . Find the time taken by man to climb Upto pulley

Am man is climbing a rope  that passes over a pulley and attaches to a block of same mass.at initial both are at rest then the man starts climbing the rope with an acceleration of 2ms-² with respect to rope . Find the time taken by man to climb Upto pulley

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Grade:11

1 Answers

Arun
25750 Points
4 years ago
 
As monkey moving upwards 
So net force T-mg=3mg/2 (1)
Also the block of mass 2m will move upwards as monkey pulls the rope while climbing therefore for block
Net force T-2mg=ma (2)
Substituting the value of T in (2) you get a=g/2

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