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Question

In the figure, pulley P moves to the right with a constant speed u. The downward speed of A is vA, and the speed of B to the right is vB. Then :

134355_3985174776044f3bbd4516352dd3ad2b.png

A
vB=vA
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B
vB=u+vA
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C
vB+u=vA
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D
The two blocks have accelerations of the same magnitude
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Solution

The correct options are
B vB=u+vA
D The two blocks have accelerations of the same magnitude
From figure,
vBP=vBvPand vA=vBuvB=u+vA
The two blocks have accelerations of the same magnitude because they are connected by the same string.

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