P19. A cylinder with mass of M and radius R can rotate about a vertical, frictionless axle. A se- cond cylinder, this one having mass m and radius r and initially rotating with angular speed wo, drops onto the first cylinder from small height (see the figu- re). Because of friction between the surfaces, the two eventually reach the same angular speed w. Wo m M R a) Find the value of w. b) Calculate the ratio of the final to the initial ro- tational energy. 3.

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P19. A cylinder with mass of M and radius R
can rotate about a vertical, frictionless axle. A se-
cond cylinder, this one having mass m and radius r
and initially rotating with angular speed wo, drops
onto the first cylinder from small height (see the figu-
re). Because of friction between the surfaces, the two
eventually reach the same angular speed w.
m
M
R
a) Find the value of w.
b) Calculate the ratio of the final to the initial ro-
tational energy.
Transcribed Image Text:P19. A cylinder with mass of M and radius R can rotate about a vertical, frictionless axle. A se- cond cylinder, this one having mass m and radius r and initially rotating with angular speed wo, drops onto the first cylinder from small height (see the figu- re). Because of friction between the surfaces, the two eventually reach the same angular speed w. m M R a) Find the value of w. b) Calculate the ratio of the final to the initial ro- tational energy.
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