One end of massless rope, which passes ove

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One end of massless rope, which passes over a massless and frictionless pulley $P$ is tied to a hook while the other is free. Maximum tension the rope bear is $360 N$. With what value of maximum safe acceleration (in $m s^{-2}$) can a man of $60 kg$ climb on the rope?

A

$16$

B

$6$

C

$4$

D

$8$

One end of massless rope, which passes over a massless and frictionless pulley $P$ is tied to a hook while the other is free. Maximum tension the rope bear is $360 N$. With what value of maximum safe acceleration (in $m s^{-2}$) can a man of $60 kg$ climb on the rope?

Assuming acceleration $a$ of the man is downwards. So the equation will be

$m g-T=m a$

$\therefore a=g-\frac{T}{m}=10-\frac{360}{60}=4 m / s ^{2}$

So the maximum acceleration of man is $4 m / s ^{2}$ downwards.