- #1
dgm
- 9
- 0
Hey there Physics Forums!
I kept getting links to you guys cropping up in Google searches, so when I got stuck with something I figured I'd register and ask here -- seems like a pretty knowledgeable. :)
Anyhow, I'm trying to calculate the mass moment of inertia for a flat, triangle-shaped plate. The axis of rotation goes through the center of mass of the plate, and is parallel to the Z axis if the vertices of the triangle are defined on the X and Y axes. According to:
http://www.efunda.com/math/areas/triangle.cfm
the formula for this is
http://www.efunda.com/math/areas/images/triangle12.gif .
Now, this is assuming that the area density is equal to 1. If I want to find the actual mass moment of inertia of the triangle, and I know the area density, would I just multiply the final result by the area density? I'm skeptical that it's that simple. Would I need to isolate the formula for the are of a triangle out of that equation, multiply it by the area density coefficient, and then plug that back into the equation by working backwards (if that even makes sense :| )?
Any help is really appreciated!
Peace and love,
dgm
I kept getting links to you guys cropping up in Google searches, so when I got stuck with something I figured I'd register and ask here -- seems like a pretty knowledgeable. :)
Anyhow, I'm trying to calculate the mass moment of inertia for a flat, triangle-shaped plate. The axis of rotation goes through the center of mass of the plate, and is parallel to the Z axis if the vertices of the triangle are defined on the X and Y axes. According to:
http://www.efunda.com/math/areas/triangle.cfm
the formula for this is
http://www.efunda.com/math/areas/images/triangle12.gif .
Now, this is assuming that the area density is equal to 1. If I want to find the actual mass moment of inertia of the triangle, and I know the area density, would I just multiply the final result by the area density? I'm skeptical that it's that simple. Would I need to isolate the formula for the are of a triangle out of that equation, multiply it by the area density coefficient, and then plug that back into the equation by working backwards (if that even makes sense :| )?
Any help is really appreciated!
Peace and love,
dgm