A block of mass `m` lying on a horizontal plane , is acted upon by a horizontal force p and another force `Q` inclined at an angle `theta` to the vertical .The block will remain in equilibrium if the coefficient of friction between it and the surface is (assume `p gt Q)`

Options

A. `((P+Qsintheta))/((mg +Qcostheta))`
B. `((Pcostheta+Q))/((mg -Qsintheta))`
C. `((P+Qcostheta))/((mg+Qsin theta))`
D. `((P sintheta-Q))/((mg-Qcostheta))`

Answer

A

Explanation

`f =p +Q sin theta, muN =p +Q sin theta`
`N =mg + Q cos theta` .