The car A is used to pull a load `B` with the pulley arrangement shown. If A has a forwed pulley arraangement shown. If A has a forward velcotiy `v_(A)` determine an experssion for the upward velcotiy `v_(B)` of the load in terms of `V_(A)` and `theta, theta` is angle between string and horizontal
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Options

A. `(1)/(2) V_(A) cos theta`
B. `V_(A) sin theta`
C. `V_(A) cos theta`
D. `(1)/(2) V_(A) tan theta`

Answer

A

Explanation

Let `theta` angle between string and horizontal `T` is tension in string
`sum T.V =0, -T cos theta V_(A) + 2T V_(B) =0`
`V_(B) =(1)/(2) V_(A) cos theta`
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