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APEXCalculus / APEXCalculusV5

Tracks the current state of APEX Calculus. For the stable version that matches the latest print version, visit the repo APEXCalculusV4.
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Final answer to Example 13.7.4 wrong by a factor of 4/\pi #5

Open 0-andy-0 opened 4 years ago

0-andy-0 commented 4 years ago

The center of mass, in rectangular coordinates, is NOT located at (−0.147, 0.015, 0.467) as these coordinates should be divided by M = \pi/4.

You should also be careful about when answers are written as equalities and when they are approximate.

The precise answers are

M_{yz} = - \frac{3 \pi}{64}

M_{xz} = \frac{3 \pi}{640}

M_{xy} = \frac{1903 \pi}{12800}

So the centre of mass is located at (-3/16, 3/160, 1903/3200).

Gomesz785 commented 3 years ago

The file name?

teepeemm commented 1 year ago

@Gomesz785 https://github.com/APEXCalculus/APEXCalculusV5/blob/2ec7e64191dfabbf1497bc7a00d3e2989614303b/text/13_Cylindrical_Spherical.tex#L119

APEXCalculus commented 1 year ago

I have this marked as errata to address as I get the chance. Thanks. Greg

On Fri, Jan 27, 2023 at 9:26 PM Tim Prescott @.***> wrote:

@Gomesz785 https://github.com/Gomesz785

https://github.com/APEXCalculus/APEXCalculusV5/blob/2ec7e64191dfabbf1497bc7a00d3e2989614303b/text/13_Cylindrical_Spherical.tex#L119

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