I have this statement:
Find the most general form of the fourth rank isotropic tensor. In order to do so:
- Perform rotations in ## \pi ## around any of the axes. Note that to maintain isotropy conditions some elements must necessarily be null.
- Using rotations in ## \pi / 2 ## analyze the...
The issue here is that I don't know how to operate the final equations in order to get the phase diagram. I suppose some things are held constant so I can get a known curve such as an ellipse.
I attach the solved part, I don't know how to go on.
I think it's fine, but I agree with @haruspex that you have to check the factorisation of ##y''##.
Just a friendly reminder: there are critical points as well where the derivative doesn't exist. In this case, the first derivative exists for every ##x##, so you don't have to matter.
As @Mark44 says, its the same expression. An integer ##k## could be positive or negative, so if you take ##2k## or ##-2k##, both determines the same set of integers, which is positive and negative even integers.
##k=\left\lbrace...,-3,-2,-1,0,1,2,3,...\right\rbrace ##...
Be careful!
There are 2 types of critical values. First type are the ones that makes ##f'(x)=0## or where the first derivative doesn't exist. Second type are the ones that makes ##f''(x)=0## or where the second derivative doesn't exist.
First type critical values could be extremes (maximum or...
I think is correct. The second derivative in ##x>0## equals ##0## and in ##-6<x<-2## the function is concave up.
## x=-2 ## would be the point of inflection.
I copy again the statement here:
So, I think I solved parts a to c but I don't get part d. I couldn't even start it because I don't understand how to set the problem.
I think it refers to some kind of motion like this one in the picture, so I'll have a maximum and a minimum r, and I can get...
Yes, I typed it wrong (copy-paste from above :doh:) but wrote it right. The numerator is negative.
So if they're equivalent, I'll try simplifying the result and go on with the other accelerations.
Thanks for your answer!
If you want to do this, I think you have to make a parabolic mirror with a converging lens in the focus.
Nevertheless, you just will take a lot of energy and it wont work as a laser.
The converging lens will give you a point where all beams come together, while the laser is a punctual emission...
Thanks for the data. Maybe the battery pack would make the difference. Also Arduino is cheaper.
Nice, I'm searching it.
Edit: This is pretty interesting.
https://create.arduino.cc/projecthub/techno_z/program-your-arduino-from-your-raspberry-pi-3407d4
I suppose the first thing to do is studying the parrot skeleton and the types of movement in order to replicate the joints. If you know about programming, maybe Raspberry Pi would be better than Arduino, but it depends on what do you want the parrot to do.
I struggled just to write the principle on Latex. I'll try uploading a better image.
Edit: It won't let me upload the images beacause they're too big. Guess I'll type it.
This is the problem's picture:
My problem is that what I got for one acceleration (m3's) via Newton's equations is not the same as via D'Alembert's principle (I've checked on my PC if they are the same expression).
I can't find the mistake. Any suggestion is welcome.
I attach pictures of what...