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

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Homework Help Overview

The problem involves calculating the center of mass for a square sheet of metal with a circular hole cut out of it. The square has sides of 22.2 cm, and the hole has a diameter of 11.1 cm. The original poster expresses difficulty in understanding the concept of center of mass in this context.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Some participants suggest considering the removed circular section as having negative mass. Others question the location of the hole and its impact on the center of mass, particularly whether its position affects the overall calculation.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the treatment of the hole, but there is no explicit consensus on the approach to take or the calculations involved.

Contextual Notes

There is a lack of clarity regarding the exact location of the circular hole, which is noted to be in the top right corner of the square. The original poster has also mentioned using the center of the square as the origin for 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

[tex]X_{cm}= - \frac{\pi 11.1}{32}[/tex]
[tex]Y_{cm}= - \frac{\pi 11.1}{32}[/tex]



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

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