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Q.

In the following arrangement the system is initially at rest. The 5 kg block is now released. Assuming the pulleys and string to be massless and smooth, the acceleration of block C will be

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a

zero

b

2.5m/s2

c

107m/s2

d

57m/s2

answer is D.

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Detailed Solution

Block B will not move.5g−T=5a    .....(1)2T−8g=8a2   .....(2)Solving eqns. (1) and (2), we get 2g=14a or a=g7∴ a2=g14=1014=57m/s2
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In the following arrangement the system is initially at rest. The 5 kg block is now released. Assuming the pulleys and string to be massless and smooth, the acceleration of block C will be