Timeline for Angular position vector?
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 9, 2013 at 8:32 | vote | accept | Henry Swanson | ||
| Nov 8, 2013 at 18:19 | comment | added | John Alexiou | There are several ways to represent a rigid body rotation. a) A unit vector direction $\hat{z}$ and an angle $\theta$ b) A 3d vector whose magnitude is the angle and direction is the rotation axis c) A 3x3 rotation matrix, representing the local axes coordinates d) Using quarternions e) Using Euler angles. | |
| Nov 8, 2013 at 16:42 | answer | added | John Alexiou | timeline score: 0 | |
| Nov 8, 2013 at 15:20 | answer | added | stachyra | timeline score: 1 | |
| Nov 7, 2013 at 6:10 | review | Suggested edits | |||
| Nov 7, 2013 at 7:29 | |||||
| Nov 7, 2013 at 2:45 | history | edited | Henry Swanson | CC BY-SA 3.0 |
winding numbers seem to be related?
|
| Nov 6, 2013 at 23:34 | comment | added | Henry Swanson | Why do we know that $\vec{x}(t) = R(t) \vec{x}(0)$? | |
| Nov 6, 2013 at 19:02 | comment | added | joshphysics | For a discussion of defining angular velocity in a mathematically precise, general way, see Step 1. here physics.stackexchange.com/a/74014/19976 | |
| Nov 6, 2013 at 16:41 | comment | added | Henry Swanson | I'm not sure I understand your comment; there seem to be two things going on. One is that perhaps this is not equal at all points on a rigid body. This is fine, because that's also true of the conventional definition of $\omega$. The other seems to be about 2D vs 3D, and I'm not quite sure what you mean. (Rotation is always in a plane) | |
| Nov 6, 2013 at 14:16 | comment | added | Sandesh Kalantre | The general relationship for a rigid body undergoing rotation in space is $\vec{v_i}=\vec{\omega} \times\vec{r_i} $ where $i$ denotes a point in the body.So you can't really define $\vec{\omega}=\vec{r} \times \vec{v}$ as that is valid only in the special case when the rotation is in a plane. | |
| Nov 6, 2013 at 10:49 | history | asked | Henry Swanson | CC BY-SA 3.0 |