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

Answer

D

Explanation

`R=sqrt(T^(2)+(T+mg)^(2)`
`=sqrt((Mg)^(2)+(Mg+mg)^(2)`
`=gsqrt(M^(2)+(M+m)^(2)`