## GR0877 Problem 83

**PROBLEM STATEMENT**: *This problem is still being typed*.

**SOLUTION**: (**E**) From the Hamilton’s equation one has .

*Found a typo? Comment!*

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Assuming you typed your solutions in Latex, you used /varphi where in the problem, the coordinate is /phi.

Isn’t this also a statement of conservation of angular momentum?

@Marshall Styczinski: thanks, it should be , of course.

@cathaychris: yep

The question was so easy, I missed it lol, hopefully I don’t make silly mistakes on the exam!

A faster way would be to consider that the possibility to be found somewhere between 0 and L is 1. But, the length is cut to 3 equal parts; namely L/3, 2L/3, and L. So, between 0 and L is 1/3, and same goes for L/3 to 2L/3, and 2L/3 to L (conservation of possibility).

So, between 0 and L/3 is 1/3…

that’s what I meant