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 $\frac{g}{8}$ , then the ratio of masses is

Question

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

TestHub · Accepted Answer

Acceleration of the system can be written as, a = m 1 - m 2 g m 1 + m 2 = g 8 ⇒ 8 m 1 - 8 m 2 = m 1 + m 2 ⇒ 7 m 1 = 9 m 2 ⇒ m 1 m 2 = 9 7

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