The equations were written by applying Lagrange's equation. There are 4 generalized coordinates and therefore 4 equations. I took these and collected terms of the generalized coordinates and their derivatives. I then put these coefficients into the corresponding matrices. Energy will not be...
Ok, I think that's what I'm looking for. Could you help me a little with finding the matrix of mass normalized eigenvectors. When I find the eigenvalues I get a vector of 8 values, some zero, some positive, some negative and some complex. How would I find the 4 vectors from them. What I have so...
Thanks for the reply.
I am trying to recreate the results of a paper and the author has specified damping coefficients for each mode rather than ratios, which is why I am interested in finding the coefficients.
Is there a way to simplify the equations in order for me to do what you described...
I am working on a motorcycle dynamics problem. I have written the equations of motion in matrix form in MATLAB (and mathcad). It is a 4 degree of freedom system, so I have a mass, damping and stiffness matrix all 4X4. I am able to find from these matrices the natural frequencies, and damping...
[b]1. The problem statement: a 100kg homogeneous cylinder of radius .3m. Starts at rest. Is pulled by a string wrapped around the cylinder coming off the top with a force of 500N.
Find the angular velocity after the cylinder has rolled one revolution?
The attempt at a solution: I=...