Question

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)

• A. $ 0 $
• B. $ g $
• C. $ [(m_1 - m_2)/(m_1 + m_2)] \times g $
• D. $ [2m_1m_2 /(m_1 + m_2)] \times g $

Answer 1

The Correct Option is C

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