A rotating uniform-density disk of radius 0.7 m is mounted in
the vertical plane. The axle is held up by supports that are not
shown, and the disk is free to rotate on the nearly frictionless
axle. The disk has mass 4.2 kg. A lump of clay with mass 0.2 kg
falls and sticks to the outer edge of the wheel at location
A, < -0.665, 0.219, 0 > m. (Let the origin of the
coordinate system be the center of the disk.) before the impact the
clay has a speed 8 m/s, and the disk is rotating clockwise with
angular speed 0.41 radians/s. (answer needs to be in vector
form)

(a) Just before the impact, what is the angular momentum of the
combined system of wheel plus clay about the center C? (As
usual, x is to the right, y is up, and z is out of the screen,
toward you.)
_C,i
= kg · m²/s

(b) Just after the impact, what is the angular momentum of the
combined system of wheel plus clay about the center
C?
_C,f
= kg · m²/s

(c) Just after the impact, what is the angular velocity of the
wheel?

_f
= radians/s