Timeline for Modeling rigid body dynamics: Trouble with equations, encountering nonsense answers
Current License: CC BY-SA 4.0
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Jul 19, 2022 at 7:03 | answer | added | drC1Ron | timeline score: 0 | |
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Jun 20, 2021 at 14:19 | answer | added | Futurologist | timeline score: 0 | |
Jun 15, 2021 at 13:45 | comment | added | Adam Reddy | @NMech yes you are right about the correction, I just added it so the components were acceleration and not position. Okay so from the first row to the last row for matrix A, the equations would be Eq.1 (Row 1) Eq. 2 (Row 2) Eq. 3 (Row 3) Eq. 4 (Row 4) Eq. 7 (Row 5) Eq. 16 (Row 6) For Eq.7(Row 5), it looks like it is in a different form because I replaced Na with FABcos(t), which would give FABsin(t)cos(t) = 0.5FABsin(2t) | |
Jun 15, 2021 at 13:43 | history | edited | Adam Reddy | CC BY-SA 4.0 |
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Jun 15, 2021 at 8:47 | history | edited | NMech | CC BY-SA 4.0 |
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Jun 15, 2021 at 8:43 | comment | added | NMech | is $ \begin{pmatrix} x_1 \\ y_1 \\ x_2 \\ y_2 \\ F_{AB} \\ \ddot{\theta} \\ \end{pmatrix} $ written correctly? Maybe you mean: $ \begin{pmatrix} x_1'' \\ y_1'' \\ x_2'' \\ y_2'' \\ F_{AB} \\ \ddot{\theta} \\ \end{pmatrix} $. I am also trying to understand how you obtained the coeffcients of matrix A. You have too many equations? Could you indicate which equations you are using? | |
Jun 15, 2021 at 8:36 | history | edited | NMech | CC BY-SA 4.0 |
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Jun 14, 2021 at 20:19 | comment | added | Adam Reddy | @AJN I am taking this approach purely as a learning exercise. However the approach you mention is more simple. I guess at this point I'm just trying to figure out where I went wrong in the problem either with some assumption or a formulation. | |
Jun 14, 2021 at 20:18 | comment | added | Adam Reddy | @NMech I could solve for any of the variables in the vector X but specifically I used this approach just so I could solve for FAB. | |
Jun 14, 2021 at 15:52 | comment | added | AJN | Have you tried modelling only the variables $x_1$, $y_2$ and the constraint equation $x_1^2 + y_2^2 = r^2$ ? Don't bring $y_1$, $x_2$, $\theta$ into the picture since the former two are fixed and the latter can be directly found from $x_1$, $y_2$. As a general principle, don't introduce more variables than necessary. Unless you get something specific by doing so. It may be that you are doing this as a learning excercise. | |
Jun 14, 2021 at 15:32 | history | edited | Adam Reddy | CC BY-SA 4.0 |
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Jun 14, 2021 at 15:20 | history | edited | Adam Reddy | CC BY-SA 4.0 |
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Jun 14, 2021 at 15:04 | comment | added | Adam Reddy | Hi, I edited the format to improve readability. I also noticed I made a mistake in one of the signs so I also fixed. Otherwise I can't figure out what I'm doing wrong. | |
Jun 14, 2021 at 15:01 | history | edited | Adam Reddy | CC BY-SA 4.0 |
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Jun 14, 2021 at 14:55 | history | edited | Adam Reddy | CC BY-SA 4.0 |
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Jun 14, 2021 at 9:17 | history | edited | NMech | CC BY-SA 4.0 |
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Jun 14, 2021 at 1:39 | history | edited | Adam Reddy | CC BY-SA 4.0 |
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Jun 14, 2021 at 1:31 | review | First posts | |||
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Jun 14, 2021 at 1:28 | history | asked | Adam Reddy | CC BY-SA 4.0 |