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Update second half of mass distribution chapter for 2023 #147

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merged 4 commits into from
Mar 23, 2023

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moorepants
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…w section at the end with an extra bit on ang momentum of principal axes.
@Peter230655
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Will you inform, when it becomes part of the lecture, so it is in 'nice' print?
Thanks!

- added remaining learning objectives
- added integral equation for the inertia of a body
- added an exercise about rotating an inertia matrix
- improved explanation of the principal inertia output
@moorepants moorepants marked this pull request as ready for review March 23, 2023 15:51
@moorepants
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Merging.

@moorepants moorepants merged commit 7ee5136 into master Mar 23, 2023
@moorepants moorepants deleted the update-mass2 branch March 23, 2023 16:03
@Peter230655
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Above eq(109) you write:
differential equations that are most useful for simulation when in a first order form.
I assume 'simulation' means numerical integration.

@Peter230655
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Parallel Axis Theorem
If you know the central inertia dyadic of a rigid body B (or equivalently a set of particles) about its mass center Bo
then it is possible to calculate the inertia dyadic about any other point O

Does $B_o$ have to be the mass center, or would the theorem also hold for any other point?
(Of course, it makes paractical sense to take $B_o$ as the mass center)

@Peter230655
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In the excercise below eq (150) you write:
Gvine the inertia...
I believe Gvine is a typo.

@Peter230655
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In the excercise below er (150) you write:
...the head tube angle is 68 degrees from the ground plane.
Is it obvious what this angle is, or would a sketch help?

@moorepants
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Does have to be the mass center, or would the theorem also hold for any other point?

I think it only holds for the mass center. I would have to check.

@Peter230655
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https://aapt.scitation.org/doi/10.1119/1.4994835
I think, this link gives a generalization of the Huygens Steiner theorem - but I did not study it

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2 participants