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Pulley system

In the pulley system shown (see attachment) the two upper pulleys are welded together to form one unit the cable is wrapped around the smaller pulley with the end secured to the pully (no slip) . Determine the upward acceleration of B if A has a downward acceleration 0f 2 ft/sec.


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(For fig. please refer attachment)

Let the angular speed of the upper pulleys be ω. Then, the tangential speeds of the bigger and smaller pulleys will be :

Tangential speed of bigger pulley = v = ...

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