Final answer to Example 13.7.4 wrong by a factor of 4/\pi

[0-andy-0]

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]

The file name?

[teepeemm]

@Gomesz785

APEXCalculusV5/text/13_Cylindrical_Spherical.tex

Line 119 in 2ec7e64

The center of mass, in rectangular coordinates, is located at $(-0.147,0.015,0.467)$, which lies outside the bounds of the solid.

[APEXCalculus]

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 — Reply to this email directly, view it on GitHub <#5 (comment)>, or unsubscribe <https://github.com/notifications/unsubscribe-auth/ABT5OF5UYMAT5NVUPB757F3WUR7WZANCNFSM4OG7RQNQ> . You are receiving this because you are subscribed to this thread.Message ID: ***@***.***>