A string of negligible mass passing over a clamped pulley of mass m supports a block of mass M as shown in figure. The force on the pulley by the clamp is given b y ..........

Options

A. `sqrt(2)` mg
B. `sqrt(2)` mg
C. `sqrt((M+m)^(2)+m^(2)g)`
D. `sqrt((M+m)^(2)+M^(2)g)`

Answer

C

Explanation

Force exerted on pulley due to clamp = resultant tension and weight force from horizontal and vertical direction .
Here tension T= (M +m) g
Weight F = mg
Resultant force acting on the pulley
`=sqrt(T^(2) +F^(2))`
`=sqrt((m+m)^(2) g^(2) +m^(2) g^(2))`