A ball of clay of mass m travels with velocity v in a path tangent to a disk of Radius R and mass M. The clay collides with the disk tangentially to its outer rim (a totally inelastic collision) and the clay and disk begin to spin about the axis.
a) What is the final angular speed of the clay and disk? (Don't forget to include the mass m after the collision)
b) If the clay had collided with the rim at an angle of 30 degrees to the tangent line, what would the final angular speed be then?