8.01SC | Fall 2016 | Undergraduate

# Classical Mechanics

Week 11: Angular Momentum

## 33.3 Summary So Far

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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 $$\displaystyle S$$.

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