Two solid disks are rotating without friction around a vertical axis. Disk 1, mass m1, radius r1, rotates at an angular speed ω1 (counter clockwise is positive). Disk 2, mass m2, radius r2, rotates at an angular speed ω2. Disk 1 slides down the axis, and lands onto disk 2, after which they rotate together.a) Determine their common angular speed, ω, after the collision.b) Give the value of ω1 in terms of ω2 and other variables, such that there is no rotation at theend.c) Express the difference between the total rotational kinetic energy before and after in termsof (ω1-ω2)2 in a concise form and show that it is ≤ 0. 100ول)

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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Two solid disks are rotating without friction around a vertical axis. Disk 1, mass m1, radius r1, rotates at an angular speed ω1 (counter clockwise is positive). Disk 2, mass m2, radius r2, rotates at an angular speed ω2. Disk 1 slides down the axis, and lands onto disk 2, after which they rotate together.

a) Determine their common angular speed, ω, after the collision.
b) Give the value of ω1 in terms of ω2 and other variables, such that there is no rotation at the

end.
c) Express the difference between the total rotational kinetic energy before and after in terms

of (ω1-ω2)2 in a concise form and show that it is ≤ 0.

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