Convert GP's transMot IM into Equational model, moving the derivative… #2649
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… portion of the equation to the derivation.
balacij
commented
Jul 1, 2021
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| <div id="IM:transMotDeriv"> | ||
| <div class="subsubsubsection"> | ||
| <h4> | ||
| Detailed derivation of force on the translational motion of a set of 2D rigid bodies: | ||
| </h4> | ||
| <p class="paragraph"> | ||
| We may calculate the total acceleration of rigid body <em>j</em> by calculating the derivative of it's velocity with respect to time. | ||
| </p> | ||
| \[{\mathbf{a}_{j}}=\frac{\,d{\mathbf{v}_{j}}\left(t\right)}{\,dt}\] | ||
| <p class="paragraph">Performing the derivative, we obtain:</p> | ||
| \[{\mathbf{a}_{j}}=\mathbf{g}+\frac{{\mathbf{F}_{j}}\left(t\right)}{{m_{j}}}\] | ||
| </div> | ||
| </div> |
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This will likely need to be improved. I am just trying to move the original derivation component of the equation of the transMot Instance Model to the derivation portion of the Instance Model. @smiths If it's alright, can you please give this a look?
JacquesCarette
approved these changes
Jul 2, 2021
|
Looks good to me too! I'll Merge the pull request, because it is satisfying to click the green button. 😄 I will not delete the branch, but please delete it @balacij if you are no longer using it. |
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… portion of the equation to the derivation.