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Block A of mass m//2 is connected to one...

Block A of mass `m//2` is connected to one end of light rope which passes over a pulley as shown in fig. A man of mass m climbs the other end of rope with a relative acceleration of `g//6` with respect to rope. Find the acceleration of block A and tension in the rope.

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The correct Answer is:
`(4g)/(9), (13mg)/(18)`

`mg - T = m (a - (g)/(6))` …(i)
`rArr T - (m)/(2)g = (m)/(2)a` …(ii)
For solving eq. (i) & (ii)
`a = (4g)/(9)` & `T = (13)/(18)mg`
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