Laws Of Motion Question 15
Question 15 - 2024 (31 Jan Shift 2)
A light string passing over a smooth light fixed pulley connects two blocks of masses $m _1$ and $m _2$. If the acceleration of the system is $g / 8$, then the ratio of masses is
(1) $\frac{9}{7}$
(2) $\frac{8}{1}$
(3) $\frac{4}{3}$
(4) $\frac{5}{3}$
Show Answer
Answer: (1)
Solution:
$a=\frac{\left(m _1-m _2\right) g}{\left(m _1+m _2\right)}=\frac{g}{8}$
$8 m _1-8 m _2=m _1+m _2$
$7 m _1=9 m _2$
$\frac{m _1}{m _2}=\frac{9}{7}$
