Two wooden blocks are moving on a smooth horizontal surface such that the mass `m` remains stationary with respect too block of mass `M` as shown in the figure. The magnitude of force `P` is:

Options

A. `(M+m)g tanbeta`
B. `g tanbeta`
C. `mg cosbeta`
D. `(M+m)g cosesbeta`

Answer

A

Explanation

Acceleration of the system: `a(P)/(M+m) (1)`
The FBD of mass `m` is shown.
`Rsinbeta=ma` (2)
`Rcosbeta=mg` (3)
`A=gtanbeta`
Putting the value of a in (1), we get
`P=(M+m)gtanbeta` .