Question

In the figure shown neglecting friction and mass of pulleys, what is the acceleration of mass $B$ ?

• A. $\frac{g}{3}$
• B. $\frac{5g}{2}$
• C. $\frac{2g}{2}$
• D. $\frac{2g}{5}$

Answer 1

Answer: (D)

For block A ;
$mg-2T= ma \ldots(1) $
For block B;
$T-mg=mb \ldots(2)$
And by constraint motion,
$(a-b)+a=0 \ldots(3) $
Solving (1), (2) and (3) get
$a=-g/5$
and $b=-2g/5$