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In the figure shown two motors P(1) & P(...

In the figure shown two motors `P_(1) & P_(2)` fixed on a plank which is hanging with light string passing over fixed pulley. If the motors starts winding the thread with angular velocity `omega_(1) & omega_(2)` then velocity of plank V is (here `R_(1) & R_(2)` are the radii of motor `P_(1) & P_(2)` rotor respectively)

A

`(omega_(1)+omega_(2))(R_(1)+R_(3))`

B

`omega_(1)R_(1)+omega_(2)R_(2)`

C

`(omega_(1)R_(1)+omega_(2)R_(2))/(2)`

D

`(omega_(1)R_(1)-omega_(2)R_(2))/(2)`

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