In the figures below are two identical rods of mass M and length l. Each of the

Question

In the figures below are two identical rods of mass M and length l. Each of the two rods is rotating about an access a distance R from its center of mass with a constant angular speed ?. The rods are oriented parallel the plane of rotation. The first rod, rotates while keeping its orientation perpendicular to the line between the rotation access and the rod?s center of mass. The second rod has a fixed orientation with respect to Cartesian coordinates as shown in the figure below. Express the angular momentum and kinetic energy of each rod in terms of M, ?, l, and R.

Explanation / Answer

Angular Momentum = Iw

Kinetic Energy = 0.5Iw^2

I in case I = (Ml^2)/3

I in case II = (Ml^2)/3 + (MR^2)

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