Figure 11-44 shows three rotating, uniform disks that are coupledby belts. One b
ID: 1726481 • Letter: F
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 requiredratioRelated Questions
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