$A$ small mass $m$ rests at the edge of a horizontal disc of radius $R$. The coefficient of static friction between the mass and the disc is $\mu$. The disc is rotated about its axis at an angular velocity such that the mass slides off the disc and lands on the floor $h$ meters below. What was its horizontal distance of travel from the point it left the disc?

• A
  $\sqrt{\mu h}$
• B
  $\sqrt{\mu (R + h)^2}$
• C
  $\sqrt{\mu Rh}$
• D
  $\sqrt{2\mu Rh}$