Figure 11-44 shows three rotating, uniform disks that arecoupled by belts. One b

Question

Figure 11-44 shows three rotating, uniform disks that arecoupled by belts. One belt runs around the rims of disks Aand C. Another belt runs around a central hub on diskA and the rim of disk B. The belts move smoothlywithout slippage on the rims and hub. Disk A has radiusR; its hub has radius 0.539R; disk B hasradius 0.280R; and disk C has radius1.91R. Disks B and C have the samedensity (mass per unit volume) and thickness. What is the ratio ofthe magnitude of the angular momentum of disk C to that ofdisk B?

Fig. 11-44
Problem 38.

Explanation / Answer

   in the given problem we see that the linear speedat the rim of the disk A must equal the linear speed at the rim ofdisl C    which gets to be    A = 2C    the fact that the linear speed at the hub ofthe disk A must equal the linear speed at the rim of disk B leadsto    A = 4C    if h is the thicknessand is thedensity of each disk then each mass is r2 h    LC / LB = (1 / 2) RC2 hRC2 C / (1 / 2) RB2 hRB2 B                =.........    if h is the thicknessand is thedensity of each disk then each mass is r2 h    LC / LB = (1 / 2) RC2 hRC2 C / (1 / 2) RB2 hRB2 B                =.........

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