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So I hope you spend a few minutes and at least gave it a try, and hopefully you even got the correct

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result.

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But if not, here is my solution so that you can compare and improve your solution.

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And I would always say we don't have to make our lives difficult.

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We can just work with what we have and then modify it.

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So I copy this code here and then I'm going to create a new cell.

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Paste it.

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And now we have to, of course, modify this list.

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So it's not going from zero to SE, but it's going from minus s half to as half.

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You can run this.

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And now we can also take this code here and paste it.

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And I think this should work already.

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Yeah.

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You see now just take a shifted and we always rotate around the center.

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Now the next thing would be to calculate the kinetic energy based on the analytical results.

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So.

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Like this and here the items or certain items or the moment of inertia will be one over 12 as square

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instead of one of a three.

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So this will be the result.

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And of course, this is just one over 24.

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The numerical results we can compare to this line of code.

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And here we don't have to change anything.

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It's already correct.

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It's just using the updated our list so we can just run this.

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And you see the result is pretty good.

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So that's the whole thing.

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That's the whole solution that I wanted you to do.

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And I think it was pretty easy.

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But of course, please don't feel discouraged if you had some problems because it can always happen

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that you get stuck at some misunderstanding or that is just not working.

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But I hope that now when you see the solution, you also agree that it was pretty easy to do.

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So one thing that's maybe important to discuss here is that when we compare the kinetic energy of rotating

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a stick around an edge, which is something like one point one six seven, and when we compare this

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to the rotational energy of rotating a stick around the center, which is zero point zero for two,

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this one is much lower.

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So it requires much less energy to rotate, stick around the center.

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So if you take a stick and you push it in both cases and you apply to same energy, then of course this

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one will rotate much, much faster than this one.

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And so it's pretty useful to be able to calculate these properties, like the moment of inertia, which

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is then, of course, directly related to the rotational energy as we have just figured out.