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In that attached file is a multip step problem that involves graphing a right circular cylinder using transtion matrices and orthonormal basis. I have completed the hole question minus the very last part which is asking for new parametric equations for the cylinder if its center point is located at (-2, 10, 3) instead of the origin.

Any ideas on how to do this will be greatly appreciated.

 

question_4.mw

Please advise as to the proper coding entries needed in the triple integration palette  to transform from the Cartesian placeholders x;y;z to spherical coordinates rho; theta; phi so that the triple integration palette can be used in spherical coordinmates. Dr. Lopez alreadyb has a standalone template which does this but I would like to set a palette option for spherical  calculations.

 

Thanx

I have a diff equation in cartesian coordinates I need to transform to a certain cylindrical system. The de looks like this:

I define my new system with addcoords like this:

addcoords('AccCylinder',[r,theta,y],[r*cos(theta),y,r*sin(theta)]); # Note: y is the longitudinal axis here!

and also do

VectorCalculus:-AddCoordinates('AccCylinder'[r,theta,y],[r*cos(theta),y,r*sin(theta)],overwrite) assuming r >= 0;

and note that I had to overwrite as my system was already known, so maybe addcoords is reduncant(?)

I then do the transformation ("(7)" is the label of my above de):

changecoords((7),[x,y,z],AccCylinder,[r,theta,y]);

and get

This may be correct, but it has the expressions in the differentials, which diff does not know how to handle. I need to convert things like diff(xpr,r*cos(theta)) = diff(xpr,x)*diff(x,r) where x would be r*cos(theta). I can do this "by hand", but that seems overly tedious and error-prone. Somehow I'd expect the coordinate transforms to be able to do this but I can't figure out how.

Any idea?

Thanks,

Mac Dude,

I've been having trouble plotting in polar coordinates. My code is included below:

The ouput prints the 10 terms of the sum but the plot does not produce anything.

I also would like to know a method that I could use to plot with a going from zero to the size of the radius.



Thank you for any help.

Hello,

In multibodies system, there exists many kind of coordinates namely joint (or relative) coordinates and absolute coordinates. Moreover, for the joint (or relative) coordinates, it is possible to choose strict, simplified, or complete coordinates.

For the moment, i only find in the tutorials system modeled with complete joint (or relative) coordinates. I will give the example of a 4 bars mechanism. The kinematic scheme with this complete joint coordinates is the following :

I want to choose four points A, B, C, D on the sphere  (x-2)^2 + (y-4)^2 +(z-6)^2 -81=0 from the list L so that there are not any the right triangle are formed from the points A, B, C, D. How to get it? I tried

 

> restart:

with(geom3d):

eqS:=Equation(sphere(S,(x-2)^2 + (y-4)^2 +(z-6)^2 -81=0,[x,y,z],'centername'=T)):

L:=[]:

In geom3d, how can i make a triangle which coordinates of the center circle circumscribed triangle are integer numbers? Please help me. Thank you.

In geom3d, how do i choose the coordinates of the vertices A, B, C of the triangle ABC so that perimeter of  triangle ABC is an integer? Please help me.

Maple defines the spherical coordinates angle phi from the Z-axis to R, and the angle theta from the X-axis to R.  Many texts and literature define the angle phi the opposite way from the X-axis to R and the angle theta from the Z-axis to R.  Therefore, when I input a problem from a text, which defines phi and theta by the second definition given above, I have to remember to swap the values of phi and theta in order to get the correct answer. 

Is there...

How do i find coordinates of the vertices of a square in Maple which coordinates of the vertices are integer numbers? Please help me. Thank you.

The triangle ABC with A(4,7,5),  B(3,7,-2),  C(0,2,2) is a equilateral triangle. How do i find coordinates vertices of a equilateral triangle which their coodinates are integer numbers? Please help me. Thank you very much.

In geom3d, how i can subs coordinates of a point M(t+1, t - 2, t+ 3) into equation of a plane (P) has equation x + 2*y -3*z + 1 = 0? Please help me.

I have an equation of the plane Q: x + y + z - 1 = 0. Now i want to define a function 

f:=(x,y,z)->lhs(Equation(Q)): 

and i calculate the value f(1, 2, 3), but Maple understand. Plese help me.

If i want to substitute the coordinates N(a + 1, b + 2, c + 3) into the equation of the plane Q. What must i do?

For example, i have the field x*ex+y*ey. Is there a command for transforming it into the same field with polar coordinates and polar unit vectors?


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