Question

How do we compute the moment of inertia matrix of a thin square plate of mass M with sides of size a?

Answer 1

google moment of inertia
and get lots of examples for various shapes.

Answer 2

Hi oobleck, just wanted a clarification on what they've meant here by "moment of inertia matrix".
Thanks!
I only post a question once I've googled and found something which I don't understand :-)

Answer 3

the moment of inertia is dependent on the axis of rotation

the plate has different momenta due to its shape

Answer 4

my google of "moment of inertia matrix" tuned up half a dozen hits on the first page...

Answer 5

You do not say about what axis or if around the center of mass. If not at center of mass and about principal axis then much more difficult (like dynamically unbalanced car wheel) Google inertia tensor .