Find Center of Mass: Calculate x,y Coordinates with R = sum(m*r)/sum(m)

AI Thread Summary
To find the center of mass coordinates (x,y) for the object with varying densities, the approach involves breaking the object into three rectangles. Each rectangle's mass and center of mass must be calculated separately. After determining the individual centers, the overall center of mass can be found by treating these centers as point masses. The formula R = sum(m*r) / sum(m) is applicable for this calculation. This method simplifies the problem and provides a clear path to the solution.
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1. The density of part A (p)(kg/m^3) and in part B (p/2)(kg/m^3). Find the coordinate (x,y) of the center of mass of this object.

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(consider a piece of the object that is one meter in the z direction)

2. R = sum(m*r) / sum(m)...maybe? I am completely stumped on how to start this problem my teacher has done no sample problems that are anything like this, not even anything in 3D, if anyone could at least provide a hint to get me started on this one? Would be greatly appreciated.
 
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This isn't a 3d problem, it's a 2d problem and he only wants (\overline x,\overline y) Break it up into three rectangles, find the mass and center of mass of each. Then find the center of mass of the three masses as if they were point masses at their centers of mass.
 
Awesome, thanks a ton for helping me get started!
 
Thread 'Have I solved this structural engineering equation correctly?'

Thread 'Have I solved this structural engineering equation correctly?'

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