First slide

Constraints

Question

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

Moderate

A

$\frac{g}{5}$
B

$\frac{g}{2}$
C

$\frac{2 g}{5}$
D

$\frac{2 g}{3}$

Solution

For B : mg-T = ma
For A : 2T - mg = $\frac{ma}{2}$
$\Rightarrow mg = \frac{5}{2} ma$
$a = \frac{2 g}{5}$

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