Laws Of Motion Question 9

Question 9 - 2024 (30 Jan Shift 1)

All surfaces shown in figure are assumed to be frictionless and the pulleys and the string are light. The acceleration of the block of mass $2 kg$ is :

(1) $g$

(2) $\frac{g}{3}$

(3) $\frac{g}{2}$

(4) $\frac{g}{4}$

Show Answer

Answer: (2)

Solution:

$40-2 T=4 a$

$T-10=4 a \Rightarrow 20=12 a$

$\Rightarrow a=5 / 3 \Rightarrow 2 a=\frac{g}{3}$