Question

For the arrangement shown in figure, pulleys and strings are ideal. Find out the acceleration of 2 kg block

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

Answer 1

The correct option is A $\frac{g}{3}$

Solution :-

REF.Image

FBD will as :

$m_{1}g-T=m_{1}a$

$\Rightarrow 20-T=2a-\left(i\right)a\downarrow$

$T-m_{2}g=m_{1}a$

$\Rightarrow T-10=a-\left(ii\right)$

Adding (i) and (ii), we get

$10=3a$

$\Rightarrow a=\frac{10}{3}m/s^2$ or $\frac{g}{3}$

Option - A is correct.