- #1
snowcover
- 2
- 0
Homework Statement
Homework Equations
Please see attachment to #3.
The Attempt at a Solution
Apparently, the answer is Y= 4R/(3*pi). Why?
Center of Mass Homework: Equations & Solution
- Thread starter snowcover
- Start date
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- Tags
- Center Center of mass Mass
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Homework Help Overview
The discussion revolves around the calculation of the center of mass, specifically focusing on the integration of vector components in relation to angles. Participants are exploring the mathematical reasoning behind the problem and the necessary steps to arrive at the correct answer.
Discussion Character
- Exploratory, Mathematical reasoning, Assumption checking
Approaches and Questions Raised
- Participants discuss the need to separate vector components and integrate them correctly. There is questioning of previous attempts and an exploration of where errors may have occurred in the calculations.
Discussion Status
Some participants have offered guidance on the importance of calculating vector components separately. There is acknowledgment of common mistakes and a recognition of improved understanding as the discussion progresses.
Contextual Notes
There is mention of an attachment that presumably contains relevant equations, but the specific details are not provided in the discussion. Participants are also reflecting on their previous assumptions regarding the integration process.
Please see attachment to #3.
Apparently, the answer is Y= 4R/(3*pi). Why?
- #2
- 15,950
- 9,146
You are asking the wrong question. The right question to ask is, "Where did I go wrong?" You went wrong in that you did not calculate the x and y components of the center of mass vector. You need to calculate the x and y components of that vector separately.snowcover said:
- #3
snowcover
- 2
- 0
Thanks. I separated vector r into x and y components, integrated, and I got it.
I guess my first attempt did not work because even though I tried to do a conversion at the end...I needed to integrate r as a vector first because its components change as the angles change.
I guess my first attempt did not work because even though I tried to do a conversion at the end...I needed to integrate r as a vector first because its components change as the angles change.
- #4
- 15,950
- 9,146
You got it. It's a common mistake to do what you did. Now you know better.snowcover said:
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