In the system shown in the figure, the acceleration of 1 kg mass is

Question

Smart Achievers · Accepted Answer

(3)

If $a$ is downward acceleration of 4 kg block, the upward acceleration of 1 kg block must be $2 a$ .

Let $T$ be tension in each part of string. The equation of motion on 4 kg block is

$4 g - 2 T = 4 a$ $\dots (i)$

The equation of motion on 1 kg block is

$T - 1 g = 1 \times 2 a$ $\dots (i i)$

or $2 T - 2 g = 4 a$ $\dots (i i i)$

Adding (i) and (iii), we get

$2 g = 8 a$ or $a = \frac{g}{4}$

$∴$ Acceleration of 1 kg block

$= 2 a = \frac{g}{2} upwards.$

Want Us to Email you About Special Offers & Updates?