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

Options

A. `sqrt2Mg`
B. `sqrt2mg`
C. `sqrt((M+m)^(2)+m^(2)g)`
D. `sqrt((M+m)^(2)+M^(2)g)`

Answer

D

Explanation

Force on the pulley by the clamp
`F_(pc)=sqrt(T^(2)+[(M+m)g]^(2))`
`F_(pc)=sqrt((Mg)^(2)+[(M+m)g]^(2))`
`F_(pc)=sqrt(M^(2)+(M+m)^(2)g)`