Question

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

• A. g/5
• B. g/2
• C. 2g/5
• D. 2g/3

Answer 1

The correct option is C 2g/5

The tensions are correctly shown in the figure.

Now from the contraint relationship .

the accleration of mass $A$ is half of that of $B$.

$\begin{array}{c}Hence2a_A=a_B\\ from2a_A=a_B\\ T-mg=m{a}_A=m\frac{a_B}{2}\\ fromFBDofmassA,\\ mg-\frac{T}{2}=m{a}_B\\ \Rightarrow a_B=\frac{2}{5}g\end{array}$