Recent content by aaddcc

Well it doesn't really make sense to me, because you are basically saying I can multip[SIZE=13px]ly a 2x2 matrix by a 2xn matrix which I don't think is possible for n>2? In my case I have a 2x3 matrix, i.e. 3 column vectors and a 2x2 rotation matrix

Sorry, you are right I meant RX. Are you saying that if I have multiple vectors in one matrix, where each column is a vector, I can just multiply the rotation matrix by that matrix to rotate each individual vector? Or is there another way I'd need to do this?

Hey, let's say that in 2D space we have a 2x2 rotation matrix R. Normally you could multiply this rotation matrix by a 2x1 column matrix / vector X. In that case it would be XR to get the vector rotated in the way described by R. Now what I'm wondering is, what if I had 3 column vectors that I...

Hi all, I was reading an article that utilized a 3x4 statics Jacobian and said to calculate the kernel vector: You can row by row, where Where Ai is the statics Jacobian with the ith column removed. The problem is I have a 3x3 statics Jacobian, so if I remove the ith column I will end up...

Hi everyone, I am trying to familiarize myself with Simulink by graphically drawing out differential equations, but ran into a snag with a double pendulum on a cart. Anyways, I neglect friction or other damping effects and say that From there I simply just sum the energies, which ends up...

Hi All, I am taking Dynamic Systems and Controls this semester for Mechanical Engineering. We are solving non homogeneous state space equations right now. This question is about a 2x2 state space differential equation that takes the form: Where A and B are matrices, while u is an input...

I want to use a rectangular cross section to act as a torsion spring that can be adjusted. The idea is that the adjustment would be made via rotating the rectangular cross section about it's center at an angle theta. I've used parallel axis theorem before, but I don't think that is applicable...

Newton, what you say makes sense, but I'm still a little confused. My ultimate goal is to be given a function r(t) that could technically be any 2D shape. From that function, I would like to generate a new function r_{control}(t) which would essentially be a function that is the same shape as...

Hi everyone, I've been racking my brain about this problem, but can't seem to figure it out. It seems like it should be easy, but I keep getting confused. Let's say I have an arbitrary parametric curve r(t)=<x(t), y(t)>. I want the velocity in the tangential direction to be constant. That...