A uniform solid sphere of mass M and radius R is lying on a rough horizonal plane. A constant force `F=4Mg` acts vertically downwards at point P such that the line OP makes an angle of `60^(@)` with the horizontal as shown in the figure. The minimum value of the coefficient of friction `mu` so that sphere performs pure rolling, is

Options

A. `(3)/(7)`
B. `(4)/(7)`
C. `(2)/(7)`
D. `(2)/(5)`

Answer

C