Moments of Inertia: Finding Center Point of Semicircle

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Homework Help Overview

The discussion revolves around finding the moments of inertia for the center point of a semicircle, a topic within the subject area of rotational dynamics and calculus.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the definition of moment of inertia and suggest expressing mass elements in terms of angular coordinates. There is also mention of using known properties of a full circle to aid in the calculation.

Discussion Status

The conversation is ongoing, with some participants providing insights into the mathematical approach while others emphasize the importance of demonstrating effort in understanding the problem. No consensus has been reached yet.

Contextual Notes

Participants are reminded of forum rules regarding effort and engagement in the learning process, indicating a structured approach to homework help.

teng125
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can anyone tell me how to find moments of inertia for the centre point of a semicircle??
 
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Do you know the definition of a moment of inertia?
 
Let the mass of the semicircle be M and the radius be R.
Express the mass of a differentiable element dm in terms of d(theta).
Then in the actual process of finding centre of mass replace dm by d(theta) of integrting the X-cordinates and Y co-rdinates of the point on the semicircle in terms of theta and dividing the whole with M. I think you know this calculus based procedure to find cenre of mass for continuous objects as asked by TD
 
teng125 said:
can anyone tell me how to find moments of inertia for the centre point of a semicircle??
There is a very simple method, if you know the MoI of a circle, but to expect help in this forum you must show some effort on your part. Please read the rules for this forum (see my signature).
 

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