Angular momentum about inconvenient pivot point

[kittyset]

A rod of length L and mass M is rotating with angular velocity w about its center of mass. What is its angular momentum with respect to a rotating point 1/4L from the rod's end? What about a stationary point?

Homework Equations

With the respect to the center of mass, angular momentum L = Iw = 1/12ML^2*w. (and L = r*Mv)

The Attempt at a Solution

Since the rod isn't actually rotating around the point (at least that's what I'm visualizing), does the parallel axis theorem still apply? How would calculation of moment of inertia work?

 

[Daeho Ro]

It is actually rotating for given point I think and the parallel axis theorem can be applied for your calculation.