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  4. Two masses m1 and m2 are connected by a massless string over a fixed pulley. If m1 > m2 , m1 will move downward and m2 will move upward. What is the acceleration with which the combination o f two masses will move? ( g = acceleration due to gravity)

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Q. Two masses $ m_1 $ and $ m_2 $ are connected by a massless string over a fixed pulley. If $ m_1 > m_2 $ , $ m_1 $ will move downward and $ m_2 $ will move upward. What is the acceleration with which the combination o f two masses will move?
( $ g = $ acceleration due to gravity)

J & K CETJ & K CET 2019

Solution:

$a=\frac{\left(m_{1}-m_{2}\right)\times g}{\left(m_{1}+m_{2}\right)}$