# Questions tagged [coordinate-systems]

A set of numbers used to quantify location in space.

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### Why is the Centripetal Force Positive, if the acceleration is negative? [closed]

If $ma_r = F$, but F is positive and $a_r$ is negative, wouldn't this mean a negative mass? I understand why centripetal acceleration is or is defined to be negative, since it is in the opposite ...
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### Why can we put these conditions on coordinates of worldsheet?

https://www.asc.ohio-state.edu/mathur.16/classicalstring.pdf At first, I write some notations I need here. $I=[0,1]$, $M$ means $(1,3)$ Minkowski space, smooth map $X:I\times I\to M$ is timelike ...
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### Choosing coordinates in Lagrangian Mechanics

Consider the problem of a hoop rolling down an inclined plane, with the plane sliding (frictionless) in a horizontal motion. I don't know how to choose the generalized coordinates for this system. In ...
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### What comprises of a 'sensible' coordinate transformation?

I am doing the course on general relativity at my university and have been struggling with covariant and contravariant vectors. I understand that components of contravariant vectors transform in a way ...