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

Options

A. g/2
B. 5g/3
C. 2g/3
D. 2g/5

Answer

D

Explanation

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`