A solid disk of mass M = 1.5 kg and radius R = 0.10 m is hanging from a massless thin rod of length D = 1.2 m.
(a) What is the rotational inertia of the disk-rod system with respect to the attachment point P?
(b) A bullet with mass m = 20.0 g is fired horizontally towards the center of mass of the disk with a speed of v0 = 500m/s. In unit vector notation, what is the angular momentum L of the bullet with respect to point P just before it collides with the disk? Use the coordinate system with axes as shown in the figure, with the z-axis out of the page.
(c) After the very short collision, the bullet gets embedded in the disk. In unit vector notation, what is the angular velocity ω of the thin rod-bullet-disk system just after the collision?
(d) Find the distance h to which the center of mass of the disk-bullet system swings after the collision.
