Center of Mass with Circle that has a Cut Out

AI Thread Summary
To find the center of mass of a 5kg circle with a 2m radius cut out, consider the cut-out circle as having negative mass. The center of mass can be calculated by determining the mass distribution of the remaining shape. The approach involves using the formula for the center of mass of composite shapes, factoring in the negative mass of the cut-out. Understanding the relationship between the full circle and the cut-out is crucial for solving the problem. This method allows for the correct calculation of the center of mass for the modified shape.
SerhanFT9
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Homework Statement


Find the center of mass of a 5kg circle with a radius of 4m with a circle that has a radius of 2m cut out from it.


Homework Equations





The Attempt at a Solution


To be completely honest, I do not know where to start. I do know how to find the center of mass when you have points on a plane. But I cannot seem to find the connection between this and that.

Thank you
 
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Welcome to PF!

Hi SerhanFT9! Welcome to PF! :smile:

You can treat the hole as a solid of negative mass. :wink:
 
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