This is a summary of the main points from the lesson so far:
- When an object rotates about a fixed axis that is not the axis of symmetry (such as an axis passing through one end of an object), the angular momentum about a point on the axis depends on the location of the point along the axis.
- When an object rotates about a fixed axis that is not the axis of symmetry (such as an axis passing through one end of an object), the angular momentum is parallel to \(\displaystyle \vec{\omega }\) only when calculated at the point of intersection between the axis of rotation and the object, \(\displaystyle \vec{L}_{intersect}=I_{intersect}\vec{\omega }\).
- When a symmetric object rotates about the axis of symmetry, the angular momentum about a given point \(\displaystyle S\) on the axis is \(\displaystyle \vec{L}_ S = I_{cm}\vec{\omega }\), independent of the location of point \(\displaystyle S\).
