- #1
TheCanadian
- 367
- 13
This seems to be a crucial detail that I just glossed over, but when finding the inertia tensor of an object, is the origin always situated at the object centre of mass?
For example: In the link (http://hepweb.ucsd.edu/ph110b/110b_notes/node26.html ), is it necessary to do the integral from -s/2 to s/2 in each dimension as opposed to 0 to s if finding the inertia through the CoM?
Also, how exactly can one find the moment of inertia of an object on an arbitrary axis? Referring back to the link, if one wanted to find the moment of inertia on an axis making 30 degrees with the horizontal (but still running through the CoM), how exactly could the inertia tensor be transformed to do this?
For example: In the link (http://hepweb.ucsd.edu/ph110b/110b_notes/node26.html ), is it necessary to do the integral from -s/2 to s/2 in each dimension as opposed to 0 to s if finding the inertia through the CoM?
Also, how exactly can one find the moment of inertia of an object on an arbitrary axis? Referring back to the link, if one wanted to find the moment of inertia on an axis making 30 degrees with the horizontal (but still running through the CoM), how exactly could the inertia tensor be transformed to do this?