In the pulley system shown, if radii of the bigger and smaller pulley are \( 2 \mathrm{~m} \) an...

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In the pulley system shown, if radii of the bigger and smaller pulley are \( 2 \mathrm{~m} \) and \( 1 \mathrm{~m} \), respectively, and the acceleration of block \( A \) is \( 5 \mathrm{~m} \mathrm{~s}^{-2} \) in the downward direction, the acceleration of block \( B \) will be
(1) \( 0 \mathrm{~ms}^{-2} \)
(2) \( 5 \mathrm{~m} \mathrm{~s}^{-2} \)
(3) \( 10 \mathrm{~m} \mathrm{~s}^{-2} \)
(4) \( \frac{5}{2} \mathrm{~ms}^{-2} \)
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