A solid sphere of mass ‘m’ and radius ‘R’ is kept on a rough surface. The velocities of air (density) around the sphere area as shown in the figure. Assuming ‘R’ to be small and
m=4πρR2g kg, the minimum value of coefficient of friction so that the sphere starts pure rolling is
1β. (Assuming force due to pressure difference is acting on the centre of mass of the sphere), determine the value of
‘β′.___