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Tension in a String

Two masses m ...

Question

Two masses m and m' are tied with a thread passing over a pulley, m' is on a frictionless horizontal surface and m is hanging freely. If the acceleration due to gravity is g,the acceleration of m'in this arrangement will be

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Solution

Net pulling force $= m g$
Total mass being pulled $= (m + m^{'})$ .
hence acceleration (a) of both the block is given by:
a= (net pulling force)/(total mass)
$= \frac{m g}{m + m^{'}}$

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