- #1
smeagol
- 6
- 0
Show that the center of mass of a uniform semicircular disk of radius R is at a point (4/(3*Pi))R from the center of the circle.
well I know I am suppose to find this by integration. By this equation
[tex]M\vec{r_{cm}}=\int\vec{rdm}[/tex]
But, I am not sure how to find dm in this case...
do I divide mass by area? or by circumference?
and since it's a disk, and it was 2 variables, would I have to integrate for 2 variables? (x and y)?
well I know I am suppose to find this by integration. By this equation
[tex]M\vec{r_{cm}}=\int\vec{rdm}[/tex]
But, I am not sure how to find dm in this case...
do I divide mass by area? or by circumference?
and since it's a disk, and it was 2 variables, would I have to integrate for 2 variables? (x and y)?