What is the axis for #21 on Moment of Inertia?

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Homework Help Overview

The discussion revolves around determining the axis of rotation for a problem related to the moment of inertia, specifically problem #21. Participants are exploring the application of the parallel axis theorem in this context.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants are attempting to identify the correct axis of rotation for the problem. Questions arise regarding the use of the parallel axis theorem, the definition of variables such as D (distance) and M (mass), and whether the inertia calculated in a previous problem (#20) applies here.

Discussion Status

Some participants have provided guidance on using the parallel axis theorem and clarified that Icm refers to the inertia from the previous problem. There is ongoing exploration of the definitions and values for D and M, with no explicit consensus reached yet.

Contextual Notes

Participants are working under the assumption that the axis of rotation is through the tip of the arrow in the provided diagram. There may be uncertainties regarding the total mass and the specific distance used in calculations.

muna580
http://img100.imageshack.us/img100/1756/untitled2qx1.jpg

I am having trouble with #21. I already did #20, but I have NO idea of how to do #21. First of all, I am not really sure where is the axis suppose to be.
 
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muna580 said:
I am having trouble with #21. I already did #20, but I have NO idea of how to do #21. First of all, I am not really sure where is the axis suppose to be.

Use the parallel axis theorem. Put the axis through the tip of the arrow in the diagram
 
Acorrding to the parallel axis theorem, you get the inertia by dong this

I = Icm + D^2M

Where Icm is the inertia with respect to the center, and D is the distnance, and M is the mass.

Well, Icm is the answer I got for #20 right?

Also, what do I use for the D? Is D the radius?

Also, what is M? Is M the mass for the hoop plus the mass of all the 4 spokes?
 
muna580 said:
Acorrding to the parallel axis theorem, you get the inertia by dong this

I = Icm + D^2M

Where Icm is the inertia with respect to the center, and D is the distnance, and M is the mass.

Well, Icm is the answer I got for #20 right?

Also, what do I use for the D? Is D the radius?

Also, what is M? Is M the mass for the hoop plus the mass of all the 4 spokes?

Yes. Icm is what you found in #20.

M is the total mass and D is the distance from the center of mass to the point of rotation. In this case, D = radius
 

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