How Do You Calculate the Center of Mass for a Non-Uniform Object?

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Homework Help Overview

The discussion revolves around calculating the center of mass for a non-uniform object, specifically a shell for a solar car. Participants are exploring the complexities involved in determining the center of mass when the object is not uniform.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster seeks a formula for calculating the center of mass and is particularly interested in the application to a solar car shell. Some participants discuss the use of calculus and integration for complex shapes, while others inquire about software options for numerical calculations.

Discussion Status

The conversation is ongoing, with participants sharing insights about the theoretical aspects of center of mass calculations and suggesting potential software tools for practical application. There is no explicit consensus yet on the best approach or tool to use.

Contextual Notes

Participants are considering the implications of non-uniformity in the object's mass distribution and the potential need for computational tools to assist in the calculations. There is an acknowledgment of the complexity involved in accurately determining the center of mass for real-world objects.

crowajordan
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Could anyone help me figure out a formula to calculate a Center of mass for a non uniform object. In my case it would be a "shell" that would go over a body of a solar car. If anyone could help me that would be great.
 
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Hi crowajordan, welcome to PF!

You just have to use a little calculus to calculate the http://en.wikipedia.org/wiki/Center_of_mass" .

The 'center of mass' is the mass-weighted average position of an object. If you have a uniform, symmetric object: the center of mass is at the geometrical center (e.g. the center of a sphere). If one part was more massive than another (e.g. one hemisphere heavier) then the CoM would be displaced in that direction.

For a complicated object, you have to add up (integrate) over every piece ("differential element") of the object to find the center.

For a complicated real-life object, like a car-shell, you would either need to make a computer-program to calculate it numerically; or make some some sort of analytical approximation to the shape.
 
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Thanks for responding. Do you have any thoughts on a program that would be able to do that? Would Solidworks do?
 
I'm not familiar with programs like that, but I think solidworks should be able to do it. They have some sort of 'motion analysis' macro I believe. Google will know.
 

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