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For the pulley system shown in fig. each...

For the pulley system shown in fig. each of the cables at A and B is given a velocity of `2ms^(-1)` in the direction of the arrow. Determine the upward velocity v of the load m.

A

`1.5m//s`

B

`3m//s`

C

`6m//s`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`V_(A)=2m//s` (towards right)
`V_(P1)=(V_(A))/(2)=1m//s` (upwards)
`V_(B)=2m//s` (toward left)
Now`2V_(P_(2)=V_(B)+V_(P_(1))) `
(V_(B)+V_(P1))/2=(2+1)/2=1.5m//s` .
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