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A string of negligible mass passes over ...

A string of negligible mass passes over a pulley of mass m which is clamped. It supports a block of mass M at its lower free end. What is force exerted on pulley by the support ?

Text Solution

Verified by Experts

There are two forces acting on support,
(i) T, the tension due to horizontal part of string, where T = Mg
(ii) (M + m)g, total weight of pulley and block along vertical.
`F=sqrt((Mg)^(2)+[(M+m)g]^(2))`
`= (sqrt((M+m)^(2)+M^(2)))g`
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