A uniform disk has radius R and mass M.When it is spinning with angular velocity about an axis through its center and perpendicular to its face its angular momentum is I .When it is spinning with the same angle velocity about a parallel axis a distance h away its angular momentum is:
A)I

Question

A uniform disk has radius R and mass M.When it is spinning with angular velocity   about an axis through its center and perpendicular to its face its angular momentum is I  .When it is spinning with the same angle velocity about a parallel axis a distance h away its angular momentum is:
A)I

Quizplus · Accepted Answer

According to the parallel axis theorem, the moment of inertia of a disk about an axis parallel to the disk through a point a distance h away from the center is given by I + Md^2, where I is the moment of inertia about the center, M is the mass of the disk, and d is the distance between the two axes (in this case, h). Therefore, the angular momentum of the disk about the parallel axis is (I + Md^2)ω. Substituting the moment of inertia of the given disk, we get (I + Mh^2)ω, which matches option B.

A Uniform Disk Has Radius R and Mass M