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| bio | website | cambridge.academia.edu/… |
|---|---|---|
| location | Cambridge, United Kingdom | |
| age | 23 | |
| visits | member for | 2 years |
| seen | 4 hours ago | |
| stats | profile views | 654 |
Currently undertaking Part III of the Mathematical Tripos at the University of Cambridge.
Previously obtained a B.S. in Mathematics and a B.A. in Physics from the University of Chicago (2012).
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Sep 8 |
comment |
Equation of Motion in a Non-Inertial (Rotating) Frame Also, the centrifugal force term is $-m\mathbf{\Omega}\times \left( \mathbf{\Omega}\times \mathbf{r}\right)$. Without the parenthesis, your equation implies that the centrifugal force is $-m\left( \mathbf{\Omega}\times \mathbf{\Omega}\right) \times \mathbf{r}$, which can't possibly be the case because this is always $\mathbf{0}$. Remember, the cross-product is nonassociative. Furthermore, this is just another personal preference, but you might want to use boldface to denote vectors in \LaTeX because it makes them stand out more. |
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Sep 8 |
comment |
Equation of Motion in a Non-Inertial (Rotating) Frame Instead of $\vec{i}$, you should probably write $\widehat{i}$ (similarly for $\vec{j}$ and $\vec{k}$) to indicate that these vectors are unit vectors. Furthermore, it is my personal preference to use $\widehat{x}$, $\widehat{y}$, and $\widehat{z}$ over $\widehat{i}$, $\widehat{j}$, and $\widehat{k}$ because of confusion with quaternions. |
