How Can I Find the Center of Gravity for a Uniformly Distributed Mass?

AI Thread Summary
To find the center of gravity for a uniformly distributed mass, one can use the centroid approach by calculating areas instead of mass, as both yield the same results. Since the mass is uniformly distributed, assuming a constant mass density allows for simplification, where the mass terms will cancel out. The equation Σmixi/Σmi is applicable, but in this case, it is more effective to focus on area calculations. This method provides a straightforward solution to determining the center of gravity. Understanding these principles is essential for solving similar problems in physics and engineering.
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Homework Statement


i need to find the center of gravity of the attached shape


Homework Equations



i know that in order to find center of gravity i can use the equation \Sigmamixi/\Sigmami but for the case it doesn't work becasue i don't have mass of this shape it just says that the mass is uniformly distributed

The Attempt at a Solution


I have no clue how to solve it
 

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Find the centroid of the shape using areas instead of mass. When the mass is uniformly distributed, the results are the same. Or you could just assume a mass density of m per sq.cm, and the m's will cancel, right?
 

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