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

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1.5ms−1

3ms−1

6ms−1

4.5ms−1

answer is A.

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Detailed Solution

vA=2ms−1 (towards right)∴ vP1=vA2=1ms−1 (upwards)vB=2ms−1 (towards left) Now 2vP2=vB+vP1∴ vP2=vB+vP12=2+12=1.5ms−1

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