Two wooden blocks of masses M and m are placed on a smooth horizontal surface as shown in figure. If a force P is applied to the system as shown in figure such that the mass m remains stationary with respect to block of mass M, then the magnitude of the force P is

Options

A. ` (M + m) g tan p`
B. `mg cos p`
C. `g tan P`
D. `(M + m) g cosec p`

Answer

A

Explanation

F=ma
P = (M+ m) a
From figure,` ma cos beta = mg sin beta`
`a = g tan beta`
`P = (M + m)g tanbeta`