Calculating Center of Mass for a Circular Hole in a Uniform Square Sheet Metal

AI Thread Summary
To calculate the center of mass for a circular hole in a uniform square sheet metal, the circular hole's diameter is 11.1 cm, and the square's side is 22.2 cm. The center of mass shifts based on the hole's position; if the hole is at the center, the center of mass of the remaining material is calculated using negative mass for the removed section. The formulas provided for the center of mass are X_{cm}= - \frac{\pi 11.1}{32} and Y_{cm}= - \frac{\pi 11.1}{32}, though the origin of the number 32 is questioned. Understanding the derivation of these values is crucial for accurate calculations.
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A circular hole of diameter 11.1 cm is cut out of a uniform square of sheet metal having sides 22.2 cm, as in the figure. What is the distance between the center of mass and the center of the sqaure?

i need some serious help with cm, i don't get this at all.
 
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U might consider The removed part as negative mass
 
Last edited:
Where is the circular hole located (no fig shown)

If it is removed from centre than the CM won't change
 
top right corner of the sqaure
 
since considering Centre of square as origin

X_{cm}= - \frac{\pi 11.1}{32}
Y_{cm}= - \frac{\pi 11.1}{32}



sookh kar kaanta ho chuka hoon
 
where did the 32 come from?
 

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