A solid ball of radius 10cm and mas 8kg rolls in the y direction with a speed of 10 m/s At the instant that it is 3m from the origin along the x axis, what is the angular momentum (mag + direction) about its center of mass?
Use the information on mass, radius and solidity to get the moment of intertia.
I = (2/5)M*R^2 = 0.0064 kg*m^2
The angular speed is
w = V/R = 10 m/s/0.1 m
= 100 rad/s
The angular momentum about the center is I*w
Where it is does not matter