Laws Of Motion Question 164

Question: A light string passing over a smooth light pulley connects two blocks of masses $ m _{1} $ and $ m _{2} $ (vertically). If the acceleration of the system is g/8 then the ratio of the masses is[AIEEE 2002]

Options:

A) 8 : 1

B) 9 : 7

C) 4 : 3

D) 5 : 3

Show Answer

Answer:

Correct Answer: B

Solution:

$ a=( \frac{m _{1}-m _{2}}{m _{1}+m _{2}} )g $

therefore $ \frac{g}{8}=( \frac{m _{1}-m _{2}}{m _{1}+m _{2}} )g $

therefore $ \frac{m _{1}}{m _{2}}=\frac{9}{7} $



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