Moment of inertia and Center of mass

daniel_i_l
Gold Member
Messages
864
Reaction score
0
Lets say I have some convex shape defined by a set of points in a clockwise direction. How do I calculate the MOI and the COM?
 
Physics news on Phys.org
calculate the MOI.
first assume the coodinat of the axis is (x,y,z).and the distance from points to axis are known as ri.then the MOI =Σmiri^2 or ∫ρiri^2dl
do you think it is right?
 
Thread 'Need help understanding this figure on energy levels'
This figure is from "Introduction to Quantum Mechanics" by Griffiths (3rd edition). It is available to download. It is from page 142. I am hoping the usual people on this site will give me a hand understanding what is going on in the figure. After the equation (4.50) it says "It is customary to introduce the principal quantum number, ##n##, which simply orders the allowed energies, starting with 1 for the ground state. (see the figure)" I still don't understand the figure :( Here is...
Thread 'Understanding how to "tack on" the time wiggle factor'
The last problem I posted on QM made it into advanced homework help, that is why I am putting it here. I am sorry for any hassle imposed on the moderators by myself. Part (a) is quite easy. We get $$\sigma_1 = 2\lambda, \mathbf{v}_1 = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix} \sigma_2 = \lambda, \mathbf{v}_2 = \begin{pmatrix} 1/\sqrt{2} \\ 1/\sqrt{2} \\ 0 \end{pmatrix} \sigma_3 = -\lambda, \mathbf{v}_3 = \begin{pmatrix} 1/\sqrt{2} \\ -1/\sqrt{2} \\ 0 \end{pmatrix} $$ There are two ways...

Similar threads

Replies
15
Views
2K
Replies
3
Views
4K
Replies
2
Views
637
Replies
49
Views
5K
Replies
13
Views
2K
Replies
2
Views
1K
Back
Top