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

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SUMMARY

The discussion focuses on solving problem #21 related to the Moment of Inertia using the parallel axis theorem. The formula provided is I = Icm + D²M, where Icm is the inertia calculated in problem #20, D is the distance from the center of mass to the axis of rotation (which is the radius in this case), and M is the total mass including the hoop and spokes. Participants clarify the definitions of D and M, confirming that D equals the radius and M is the combined mass of the hoop and spokes.

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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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