a silver dollar of mass 200gm, and diameter 8cm, has a small hole punched through it at 2 cm from the center. the coin is initially at rest in a vertical plain with the hole directly under the center, and is momentarily balanced on a thin rod which goes through the small hole. The Rod now rotates clockwise.
Keep in mind that the moment of intertia of an object pivoted about a point other than the center of mass is greater than the moment of inertia formula in the book by the parallel axis theorem which says that it is increased by the product of the ass and the square of the distance from the pivot point to the center of mass.
a) what is the angular velocity of the coin at its fastest?
b) with what speed if the center of the coint moving at this point?
c) is momentum conserved?
d) Is angular momentum conserved?
e) Is Energy conserved?