Question

Two unequal masses of $1kg$ and $2kg$ are connected by an inextensible light string passing over a smooth pulley as shown in the figure. A force $F=20N$ is applied on $1kg$ block. Find the acceleration of either block. ($g=10m/s^2$)

• A. $\frac{10}{3}$
• B. $\frac{20}{3}$
• C. $10$
• D. $20$

Answer 1

The correct option is A $\frac{10}{3}$

Using FBD,
$1.a=20+1.g-T$ and
$2.a=T-2.g$
Thus, solving these we get,
$3a=20-g$
Put $g=10$ to get $a=\frac{10}{3}m/s^2$