Difference between revisions of "Forest UCM Ch3 CoM"
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The Center of mass | The Center of mass | ||
| − | = | + | =Definition of the Center of Mass= |
The position <math>\vec R</math> of the center of mass is given by | The position <math>\vec R</math> of the center of mass is given by | ||
| Line 15: | Line 15: | ||
:<math>\vec{R} = \frac{1}{M} \int \vec{r} dm</math> | :<math>\vec{R} = \frac{1}{M} \int \vec{r} dm</math> | ||
| + | |||
| + | =Example 1: CM of a flat disk= | ||
| + | |||
| + | =Example 2: CM of a semicircle= | ||
[[Forest_UCM_MnAM#Center_of_Mass]] | [[Forest_UCM_MnAM#Center_of_Mass]] | ||
Revision as of 14:10, 13 September 2014
The Center of mass
Definition of the Center of Mass
The position of the center of mass is given by
The center of mass is given as the sum of the position of each object in the system weighted by the objects mass.
For a rigid object the location of the center of mass is given by