\f9.47. Original orientation in? A coin of mass m and radius R is initially spinning around the axis per- pendicular to its plane, with angular speed (1)3. It is supported by a pivot at its center. You apply a (nonzero) downward strike at a point on the rim, as shown in Fig. 9.63, giving the coin an angular velocity com- ponent a); in the plane of the coin. Consider the nth time the plane of the coin returns to its original plane. What is the minimum value of n for which it is possible for the coin to have exactly the same orienta- tion as when it started? What should col be in terms of (03 to achieve this? 9.48. Seeing tails m: A coin (oating in outer space) of mass m and radius R is initially spin- ning around the axis perpendicular to its plane, with angular speed @3. You View the coin directly from above, and you apply a downward strike at a point on the rim, as shown in Fig. 9.63. What is the minimum impulse, f F dt, you must apply in order to be able to barely see the underside of the coin at some later time in its wobbling motion? Assum- ing that you apply this minimum impulse, how far will the center of the coin have moved by the time you are able to see the underside