So in this example, we have considered the stick that is rotated around one of its ends.
And now we are coming to the second problem, which is a task for you instead of circulating this stick
around its end.
We will shift the stick and we'll rotate it around the center.
So I want you to basically recreate these, you know, these lines of codes for the updated problem.
So please create a new plot where this is shifted and so that you see it's rotated around the center
and then also calculate the new numerical results.
So here I give you already the analytical solution, which is of course, pretty similar to the other
analytical solution because the only thing that changes here is the limit for the integration.
So instead of going from zero to SE, which we have to put in here, we now have to take the boundaries
minus s half and s half, which in both cases give gives us plus minus as to the power of three divided
by two to the power of three, which is eight.
So we have here two times as to the power of three over eight.
So basically as to the core of three divided by four.
And together with this one over three, we get one twelfth and as square.
So I want you to calculate the corresponding i.e. using this equation here.
And afterwards, or sorry, not not the eye, the kinetic energy as we have done here.
I want you to do this for this updated results.
And then, of course, I also want you to calculate the numerical results and to compare this result
with the analytical solution.