Problem 54054. Determine Center of Mass for a Set of Floating Spheres

Created by Jakeb Chouinard

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Each sphere has a position determined by theta (x,y plane angle) and tau (elevation angle) as well as L, the distance of the center of the sphere from the origin. Each sphere also has a radius, r, and a density of rho. 
These values are defined in a single input matrix: sceneAttributes
The output should be a 1x3 matrix defining the CoM in cartesian 3D space (x, y, z)
All angles are in degrees, all distances are in meters, and density is in kg/m^3
Assume density and lengths are always positive

Solve

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16 Solutions
3 Solvers

Last Solution submitted on Sep 07, 2022

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3 Comments

William on 4 Mar 2022

My calculation does not agree with test #4. Also, it is odd (but unimportant) that the values for theta go from -360 to +360 rather than -180 to +180

Michael Sisco on 7 Mar 2022

Your result for test #4 is clearly wrong. Simply add up the masses with positive elevation and the masses with negative elevation, and you'll see that the CoM must be below the xy plane.

Jakeb Chouinard on 7 Sep 2022

**Found error in solution and corrected; rescored submitted solutions. Cheers!

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