A block of mass `m` is at rest on a rough wedge as shown in figure. What is the force exerted by the wedge on the block?

Options

A. Net force applied by `m` on `M` is `mg`
B. Normal force applied by `m` on `M` is `mg`
C. Force of friction applied by `m` on `M` is `mg`
D. None of the above

Answer

A

Explanation

`N = mg cos theta, f= mg sin theta`
Net force applied by `M` on `m (or m on M)`
`F = sqrt(N^(2) + f^(2)`
`= sqrt((mg cos theta)^(2) + (mg sin theta)^(2))`
`= mg`