Q.

In the arrangement shown, mass of block A is 1 kg and that of B is 4 kg. The pulleys are light. The system is released from rest. Then acceleration of B is

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a

2.5 m/s2

b

8 m/s2

c

6 m/s2

d

4 m/s2

answer is A.

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Detailed Solution

If ‘a’ be the downward acceleration of B, then upward acceleration of A will be ‘2a’. If T be the tension in the string connected to block A, then 2T will be the tension in the string connected to block B.For  block  A, T−1 × 10 = 1 × 2aFor block  B, 4 × 10 −2T = 4 × aSolving, a=2.5 m/s2
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