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A rope of negligible mass passes over a ...

A rope of negligible mass passes over a pulley of negligible mass attached to the ceiling, as shown in figure. One end of the rope is held by Student A of mass `70 kg`, who is at rest on the floor. The opposite end of the rope is held by Student `B` of mass `60 kg`, who is suspended at rest above the floor. The minimum acceleration `a_(0)` with which the Student `B` should climb up the rope to lift the Student A upward off the floor. `(g=10m//s^(2))`

A

`(1)/(3)(m)/(s^2)`

B

`(2)/(3)(m)/(s^2)`

C

`(4)/(3)(m)/(s^2)`

D

`(5)/(3)(m)/(s^2)`

Text Solution

Verified by Experts

The correct Answer is:
D

For student A to just lift of the floor tension T in string must be greater than or equal to 700 N.
The F.B.D. Of student B is Applying Newton's second law
`T-mg=maimplies700-600=6a`
or `a=(5)/(3)(m)/(s^2)`
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