Figure 11-44 shows three rotating, uniform disks that are coupledby belts. One b

Question

Figure 11-44 shows three rotating, uniform disks that are coupledby belts. One belt runs around the rims of disks A andC. 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 0.472R; disk B hasradius 0.299R; and disk C has radius2.02R. 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?

http://edugen.wiley.com/edugen/courses/crs1650/art/qb/qu/c11/fig11_42.gif

Ic/Ib = TR^4*w^2 / TR^4*w^2
How do you find the thickness and insert the radius into theequation?

Explanation / Answer

A rA = BRB                r = small radius   and R the large radii A RA = CRC C / B = RBRA / (rA RC) IC = 1/2 MC RC2 =1/2 RC4t         where t is thethickness IB=                         1/2 RB4 t IC / IB = (RC /RB)4 IC C /(IB B) = RARC3 / (rARB3)    the requiredratio IC C /(IB B) = RARC3 / (rARB3)    the requiredratio

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