Find the velocity of the hanging block if the velocities \( \mathrm...

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Find the velocity of the hanging block if the velocities
\( \mathrm{P} \) of the free ends of the rope as indicated in the figure.
(1) \( 3 / 2 \mathrm{~m} / \mathrm{s} \uparrow \)
(2) \( 3 / 2 \mathrm{~m} / \mathrm{s} \downarrow \)
(3) \( 1 / 2 \mathrm{~m} / \mathrm{s} \uparrow \)
(4) \( 1 / 2 \mathrm{~m} / \mathrm{s} \downarrow \)
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