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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
Jun 14, 2021 at 5:19
Jun 14, 2021 at 1:28 history asked Adam Reddy CC BY-SA 4.0