I have a cognitive science problem, but the solution appears to berelated to physics, so I thought I'd ask here.
I have many (1000) data points, each with an individual x and yposition, and all of the same mass. I made these points translationinvariant by subtracting the mean x and mean y position (i.e. the'center of mass') from the respective coordinates of each point, sono matter where the points are, they will be translated so that thecenter of mass is (0,0). Now I need to do the same to make themrotation invariant in Euclidean space.
Because translation invariance involved 'center of mass,' theinstructor has suggested the rotation version will involve momentof inertia and rotating to the parallel axis representation. I haveno experience with this. So, given the information about the pointsabove, can someone tell me how I can find the moment of inertia ofthe points and rotate to the parallel axis representation?
I have a cognitive science problem, but the solution appears to berelated to physics, so I thought I'd ask here.
I have many (1000) data points, each with an individual x and yposition, and all of the same mass. I made these points translationinvariant by subtracting the mean x and mean y position (i.e. the'center of mass') from the respective coordinates of each point, sono matter where the points are, they will be translated so that thecenter of mass is (0,0). Now I need to do the same to make themrotation invariant in Euclidean space.
Because translation invariance involved 'center of mass,' theinstructor has suggested the rotation version will involve momentof inertia and rotating to the parallel axis representation. I haveno experience with this. So, given the information about the pointsabove, can someone tell me how I can find the moment of inertia ofthe points and rotate to the parallel axis representation?
