1. A cylinder with rotational inertia /₁ = 2.0 kgm² rotates clockwise about a vertical axis through its center with angular speed w, = 5.0 rad/s. A second cylinder with rotational inertia 12 = 12 = 2.0 kgm2 rotates counter-clockwise about the same axis with angular speed w₂ = 8.0 rad/s. a) Assuming no external torques act on the system of cylinders, if the cylinders couple so they have the same rotational axis, what is the angular speed of the combination? Hint: Pick a direction for the angular momentum. Let counter-clockwise rotation correspond to a positive L and a clockwise rotation correspond to a negative L. rad/s W= b) What percentage of the kinetic energy is lost during the coupling?

1. A cylinder with rotational inertia /₁ = 2.0 kgm² rotates clockwise about a vertical axis through its center with angular speed w, = 5.0 rad/s. A second cylinder with rotational inertia 12 = 12 = 2.0 kgm2 rotates counter-clockwise about the same axis with angular speed w₂ = 8.0 rad/s. a) Assuming no external torques act on the system of cylinders, if the cylinders couple so they have the same rotational axis, what is the angular speed of the combination? Hint: Pick a direction for the angular momentum. Let counter-clockwise rotation correspond to a positive L and a clockwise rotation correspond to a negative L. rad/s W= b) What percentage of the kinetic energy is lost during the coupling?

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

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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