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Acceleration

Block B is mo...

Question

Block B is moving towards right with constant velocity $v_{0}$ . Velocity of block A with respect to block B is (assume all pulleys and strings are ideal):

A

\frac{v_{0}}{2}

, left

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B

\frac{v_{0}}{2}

, right

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C

\frac{3}{2 v_{0}}

, right

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D

\frac{3}{2 v_{0}}

, left

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Solution

The correct option is A $\frac{v_{0}}{2}$ , right
The total power for the system is conserved.

So, $V_{A} (2 T) = V_{0} (3 T)$

$\Rightarrow V_{A} = \frac{3 V_{0}}{2}$
$∴$ $V_{A B} = \frac{3}{2} V_{0} - V_{0} = \frac{V_{0}}{2}$

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