Initially a sphere of radius r is rotating with an angular velocity omega about its own horizontal axis. When the sphere falls on a surface (coefficient of friction mu), then it begins to skid first and then starts rotating without skidding. How much distance will the sphere cover before reaching this velocity?

Initially a sphere of radius r is rotating with an angular velocity om

1.	Initially a sphere of radius r is rotating with an angular velocity omega about its own horizontal axis. When the sphere falls on a surface (coefficient of friction mu), then it begins to skid first and then starts rotating without skidding. How much distance will the sphere cover before reaching this velocity?
Answer» SOLUTION :Distance covered, `X=(1)/(2)at^(2)=(1)/(2)MUG((2omegar)/(7mug))^(2)=(2)/(49).(r^(2)OMEGA^(2))/(mug).`