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 ;

$mg-2T=ma\dots (1)$

For block B;

$T-mg=mb\dots (2)$

And by constraint motion,

$(a-b)+a=0\dots (3)$

Solving (1), (2) and (3) get

$a=-g/5$

and $b=-2g/5$