I know nobody responds without an attempted solution so for that I apologize. I have worked all night on this with my physics book trying to remember how to do these types of problems. I have come up with a solution that is attached. This is to the best of my current ability and I would...
Homework Statement
It's been a while since I've had mechanical physics so I'm simply seeking which formulas will be needed for me to calculate what I need, then I will attempt a solution and post my responses.
My problem is this: I'm trying to figure out what horsepower motor I need to...
My question only pertains to the second page of the pdf. The first page consists of simply finding the Eigenvalues, and then the Eigenvector for the real Eigenvalue.
To refine my question, is the method of performing Gauss Elimination the correct method for finding the complex Eigenvector...
The last matrix at the bottom of the second page is the Eigenvector found using Matlab.
I'm trying to find it by hand. I found the Real Eigenvector associated with L=76.2348. But I've tried to find the Eigenvector's for the complex Eigenvalues for a while and can't get the answer given by...
I did a quick search of DC motor constant and found that the units can be V/rad/sec, so yes Km=V/w. This is for Advanced Control Systems by the way. I really like control systems but my mechanical modeling ability must be greatly improved.
Thank you very much. That actually made it easy! It's just been so long since I've seen rotational motion that I forgot where the basis for the equations came from. But now I see T = J \stackrel{..}{\theta} should be the starting point for rotational systems...High school physics, I know...
There are actually a couple typos in the equations, but I have made another thread in the proper homework board where all the typos are fixed. I have explained in more detail where I would like help in that thread, found here...
Sorry there must have been a problem with the image linking. I am putting it in an attachment instead.
A quick explanation of the motor and load models would be helpful.
In particular, I'm having problems understanding the derivations of the differential equations of the model. I'm an...
Here is a copy of my notes on the motor. Basically it's just some of Newton's Law of Rotation combined with Kirchoff's Laws. Then we put the model into state space form.
Could someone just please explain to me the meaning of the equations? It's been a while since I've had physics. Thanks a...
EDIT: Sorry for posting in wrong board. I will repost this in the homework section. Could someone please delete this post? Thank you
Here is a copy of my notes on the motor. Basically it's just some of Newton's Law of Rotation combined with Kirchoff's Laws. Then we put the model into state...
I have came up with the following MATLAB code, let me know if it looks corrects if anyone is checking this thread:
syms v theta omega t
pxdt = v*cos(theta); % System dynamics
pydt = v*sin(theta);
thetadt = omega;
px = int(pxdt,t);
py = int(pydt,t);
theta =...
Homework Statement
A single wheel cat moving on the plane with linear velocity v angular velocity \omega can be modeled by the nonlinear system:
dpx/dt = v*cos(\theta)
dpy/dt = v*sin(\theta)
d\theta/dt = \omega
where (px,py) denote the cartesian coordinates of the wheel and...
ELEG -- DC Motor Control Systems Problem
Homework Statement
The voltage equation of a dc motor is written:
ea(t)= Ra*ia(t) + La*[dia(t)/dt] + Kb*wm(t)
where ea(t) is the applied voltage; ia(t) is the armature current; Ra is the armature resistance; La is the armature inductance; Kb is...
Homework Statement
The current shown below is applied to a 0.25uF capacitor. The initial voltage on the capacitor is zero.
(a) Find the charge on the capacitor at t = 30us.
(b) Find the voltage on the capacitor at t = 50us.
(c) How much energy is stored in the capacitor by this current...