Thanks much for posting this, most references focus on solving the eigenvalues/vector problem without connecting these quantities back to their physical significance. It seems to me that eig() produces the closest (small Phi) solution where eigs() sorts eigenvalues/vectors descending.
Thank you for these lectures, they are helping me a lot. I am confused about 4:00. Are the B_Hc and B_W vectors the components of their vectors expressed in the B frame, so you will need to transpose those vectors and multiply them with a 3x1 matrix with components of the B frame's basis vectors to obtain the inertial vectors of B_Hc and B_W? Or are the bases of the B frame already included in B_Hc, B_Ic, and B_W in the equation in 4:00?
Sir, when we calculate principal axis fram from taken body frame we get f1 f2 f3. So does it mean that we shift our origin of body fixed frame to point (f1,f2,f3) to ge principal axis frame?
Thank you so much. Working through an online dynamics course and this really helped explain a concept my teacher only briefly reviewed
You're very welcome! I'm glad I was able to provide some clarity on concepts touched on briefly. Thank *you* for watching.
Thank you so much! It really helps me with these topics!
You're welcome! Glad to help.
Thanks much for posting this, most references focus on solving the eigenvalues/vector problem without connecting these quantities back to their physical significance. It seems to me that eig() produces the closest (small Phi) solution where eigs() sorts eigenvalues/vectors descending.
thanks for uploading this
Thanks much, I have a question, how we can know we should rotate which axis?
Thank you for these lectures, they are helping me a lot. I am confused about 4:00. Are the B_Hc and B_W vectors the components of their vectors expressed in the B frame, so you will need to transpose those vectors and multiply them with a 3x1 matrix with components of the B frame's basis vectors to obtain the inertial vectors of B_Hc and B_W? Or are the bases of the B frame already included in B_Hc, B_Ic, and B_W in the equation in 4:00?
No multiplication is necessary. B_Hc, B_Ic, and B_W are the objects (vectors and matrix) already expressed in the B-frame.
@@ProfessorRoss That makes a lot of sense now! Thank you!
Your comment on the potato was hilarious
Sir, when we calculate principal axis fram from taken body frame we get f1 f2 f3. So does it mean that we shift our origin of body fixed frame to point (f1,f2,f3) to ge principal axis frame?