Where is the center of mass located for an irregular object?

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AI Thread Summary
To find the center of mass of an irregular object, the origin is placed at the lower left, with the positive x-axis pointing right and the positive y-axis pointing up. The x and y coordinates of the center of mass can be determined by dividing the object into regular shapes, such as squares, and calculating the mass of each piece. By placing the mass of each piece at its center, the overall center of mass can be calculated from these point masses. The discussion emphasizes breaking down complex shapes into simpler components for easier computation. This method provides a systematic approach to determining the center of mass for irregular objects.
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Homework Statement



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a) Place the origin, O, at the lower left. If the positive x-axis points to the right along the page, what is the x coordinate of the center of mass in terms of a?

b) If the positive y-axis points up along the page, what is the y coordinate of the center of mass in terms of a?

The Attempt at a Solution



Could u guys help me to start? Thanks so much!
 
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Cut the irregular object to regular pieces (squares). Place the mass of each piece into the centre and find the CM of these point masses.

ehild
 
Got it! Thanks! ;)
 

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