- #1
brandon26
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Where is the centre of mass of a semicircular lamina which is uniform? I know it is somewhere along the line of symestry, but where excactly?
Finding Centre of Mass for a Uniform Semicircular Lamina
- Thread starter brandon26
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- Centre of mass Lamina Mass Uniform
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Homework Help Overview
The discussion revolves around finding the center of mass of a uniform semicircular lamina. The original poster expresses uncertainty about the exact location along the line of symmetry.
Discussion Character
- Exploratory, Assumption checking
Approaches and Questions Raised
- Participants explore the concept of the center of mass and its relation to symmetry. There are inquiries about the basic formulas involved in calculating the centroid, and some participants question the clarity of the responses provided.
Discussion Status
The discussion includes attempts to clarify the concept of the center of mass, with some participants providing formulaic insights. However, there is no explicit consensus, and the conversation appears to be ongoing with varying levels of understanding and engagement.
Contextual Notes
Some participants reference prior knowledge of basic formulas, suggesting a potential gap in understanding for others. Additionally, there are light-hearted remarks that indicate a mix of seriousness and humor in the discussion.
- #2
Fermat
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It only takes a few moments to work it out.
com = 4r/3pi
com = 4r/3pi
- #3
brandon26
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Can you be of more help please?
- #4
Fermat
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Of course. Drag your mouse over the answer in my last post.
- #5
HallsofIvy
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Surely, if you have a question like that, you know the basic formulas.
The y-coordinate of the centroid of a region (center of mass assuming uniform density) is [tex]\frac{\int y dA}{\int dA}[/tex].
[tex]\int dA[/tex] is, of course, the area of the region.
Once, when I was teaching this, a student became fascinated by the word "lamina" (had never seen it before, apparently). As the last question on the final exam, I asked "What is 'lamina' spelled backwards?"
Another student became furious with me because "That question doesn't make any sense!"
The y-coordinate of the centroid of a region (center of mass assuming uniform density) is [tex]\frac{\int y dA}{\int dA}[/tex].
[tex]\int dA[/tex] is, of course, the area of the region.
Once, when I was teaching this, a student became fascinated by the word "lamina" (had never seen it before, apparently). As the last question on the final exam, I asked "What is 'lamina' spelled backwards?"
Another student became furious with me because "That question doesn't make any sense!"
- #6
brandon26
- 107
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Oh sorry. Haha. I didnt realize there was invisible ink on the paper.Fermat said:
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