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In the arrangement shown, the pulleys an...

In the arrangement shown, the pulleys and strings are massless. The acceleration of block B is :

A

g/2

B

5g/3

C

2g/3

D

2g/5

Text Solution

Verified by Experts

The correct Answer is:
D
From constraint relation:
`a_(2) = (0 + a_(1))/(2)`
`implies a_(1) = 2a_(2)`
for A : `2T - mg = ma_(2)`
For B: `mg - T = ma_(1) = m (2a_(2))`

solving (i) and (ii), `a_(2) = g//5` `implies a_(1) = 2g//5`
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