a. A disk slides toward a motionless stick on a frictionless surface.
b. The disk hits the stick at one end and adheres to it, and they rotate together, pivoting around the nail.
Suppose the disk in the picture above has a mass of 50.0 g and an initial velocity of 30 * m/s when it strikes the stick that is 1.20 m long and 2.00 kg at a point 1.00 m from the pivot. What is the angular velocity (in rad s ) of the two after the collision?
Solve using Li = 50*30*1
=1500
Lf = ((1/3*2*1.2^2)+50)wf
And express the mass of the disk in units of kg
= 0.050 kg
Therefore, Lf = ((1/3 * 2 * 1.2^2) + 0.050) * wf
Lf = 1.4 kg m^2 s^-1 rad^-1 * wf
1500 = 1.4 * wf
wf = 1071.43 rad/s
So, the angular velocity of the two after the collision is 1071.43 rad/s.