1
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So in this example, we have considered the stick that is rotated around one of its ends.

2
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And now we are coming to the second problem, which is a task for you instead of circulating this stick

3
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around its end.

4
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We will shift the stick and we'll rotate it around the center.

5
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So I want you to basically recreate these, you know, these lines of codes for the updated problem.

6
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So please create a new plot where this is shifted and so that you see it's rotated around the center

7
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and then also calculate the new numerical results.

8
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So here I give you already the analytical solution, which is of course, pretty similar to the other

9
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analytical solution because the only thing that changes here is the limit for the integration.

10
00:00:53,940 --> 00:01:02,590
So instead of going from zero to SE, which we have to put in here, we now have to take the boundaries

11
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minus s half and s half, which in both cases give gives us plus minus as to the power of three divided

12
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by two to the power of three, which is eight.

13
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So we have here two times as to the power of three over eight.

14
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So basically as to the core of three divided by four.

15
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And together with this one over three, we get one twelfth and as square.

16
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So I want you to calculate the corresponding i.e. using this equation here.

17
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And afterwards, or sorry, not not the eye, the kinetic energy as we have done here.

18
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I want you to do this for this updated results.

19
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And then, of course, I also want you to calculate the numerical results and to compare this result

20
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with the analytical solution.