Figure 11-43 shows three rotating, uniform disks that are coupled by belts. One

Question

Figure 11-43 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 0.562R; disk B has radius 0.212R; and disk C has radius 2.36R. 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?

Fig. 11-43
Problem 36.

Explanation / Answer

the tangential velocity or the velocity of the belt is constant so ?a*0.471R=?b0.221R ?aR=?c1.51R ?c/?b=0.221/0.471*1.51 ratio=0.310

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