Three Disks Coupled by Two Belts

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The discussion revolves around calculating the ratio of angular momentum between two disks, C and B, coupled by belts. The key equations include the angular momentum formula L = mvr and the moment of inertia for a disk, I = (mr^2)/2. The relationship between the disks' angular speeds is crucial, as they are interconnected, suggesting that their angular velocities may be proportional. The density of disks B and C is the same, which will aid in determining their masses for the calculations. Understanding these relationships is essential for solving the problem effectively.
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Homework Statement


The figure below shows three rotating, uniform disks that are coupled by belts. One belt runs around the rims of disks A and C. Another belt runs around a central hub on disk A and the rim of disk B. The belts move smoothly without slippage on the rims and hub. Disk A has radius R; its hub has radius 0.6000R; disk B has radius 0.2000R; and disk C has radius 1.500R. Disks B and C have the same density (mass per unit volume) and thickness. What is the ratio of the magnitude of the angular momentum of disk C to that of disk B?
L(C)/L(B)=?
Image: http://www.webassign.net/hrw/W0249-N.jpg

Homework Equations


L=mvr=Iw (w is angular speed)
I(disk)=(mr^2)/2


The Attempt at a Solution


Honestly I have no clue how to even start this...
I think that the density will somehow give me mass to plug into equation for I, which can then be plugged into L. But I don't know how to get w or v and without those I don't know how to get L.
 
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Could the w's for each disk all be directly proportional to one another?

I think you are right about the density.
 

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