Many times, I can create the drawing for physics problems. But sometimes, it is just too lengthy to do. And the tools are limited. For example, you cannot draw an arc circle to represent the angle between two vectors. You can look at a simple drawing that I made (see included document). You will see that to draw the rotation vector that shows in what direction the axis rotate. I had to draw it with the pen and this is never beautiful. So if someone knows of a pretty good software (free is even better but at least not too expensive), I would really appreciate.

3-D_rotating_axes.mw

Hi,

I have copied codes from the example of the pendulum to use for a simple case of the motion of a particle in the gravitational field. But when it is time to find v_, I get 0 while in the examples worksheet, it works? I try it in Maple 2022 and 2023 so it is not a question of a version of Maple. It seems that I am missing something. Some help would be appreciated.

Here is my Example_1.mw.

Thank you.

I have this very simple intergral

((Int(sin(m*Pi*y/a), y = 0 .. b))

I want to solve it when m is even then when it is odd. Of course, a and b are real positive. Then I will do the same with the other side of the integral.

Int(sin(n*Pi*y/a)*sin(m*Pi*y/a), y = 0 .. b)

Thank you in advance.

Mario

document:Laplace_Problem.mw

I know that this is a stupid question but I cannot find how to do the dyadic product of two matrix. Those matrix could be two tensor matrix and I need to do this multiplication:

Thank you in advance for your help.

Mario

In solving the brachistochrone for a fine string of length L under the pull of g passing through the point (0,0) and (a,b) using the euler-lagange method,I stumble on this non-linear relation:

C*sinh(mu*g*a/C)=L

which I need to solve for C.

Maple give me the famous RootOf:

RootOf(A*exp(_Z)^2 - 2*_Z*L*exp(_Z) - A)

where A = mu*g*a

Can it be solve for C or am I force to use numeric method?

Thank you in advance for your help.

Mario