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Two disks are mounted on frictionless bearings on a common shaft. Disc 1 has rotational inertia I, and is spinning with angular velocity o,. Disc 2 has rotational inertia Iz = 21, and is spinning in the same direction as disc 1 with angular velocity o, = 20, as shown. The two disks are slowly forced toward each other along the shaft until they stick together and rotate with a common final angular velocity. a. Write a conservation of momentum equation for the scenario. b. Explain why this equation describes the scenario. c. Derive an expression for the final angular velocity of the disks, in terms of the symbols given in the scenario.

Two disks are mounted on frictionless bearings on a common shaft. Disc 1 has rotational inertia I, and is spinning with angular velocity o,. Disc 2 has rotational inertia Iz = 21, and is spinning in the same direction as disc 1 with angular velocity o, = 20, as shown. The two disks are slowly forced toward each other along the shaft until they stick together and rotate with a common final angular velocity. a. Write a conservation of momentum equation for the scenario. b. Explain why this equation describes the scenario. c. Derive an expression for the final angular velocity of the disks, in terms of the symbols given in the scenario.

College Physics
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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Could i have some help breaking down a,b,c,d, and e ?
1. Two disks are mounted on frictionless bearings on a common shaft. Disc 1 has rotational inertia I, and is spinning with angular velocity o,. Disc 2 has rotational inertia lz = 21, and is spinning in the same direction as disc 1 with angular velocity o, = 20, as shown. The two disks are slowly forced toward each other along the shaft until they stick together and rotate with a common final angular velocity. a. Write a conservation of momentum equation for the scenario. b. Explain why this equation describes the scenario. c. Derive an expression for the final angular velocity of the disks, in terms of the symbols given in the scenario. d. Draw a picture of a linear collision between two cars that is similar to this rotational collision. e. Explain how your picture answers d.
Transcribed Image Text:1. Two disks are mounted on frictionless bearings on a common shaft. Disc 1 has rotational inertia I, and is spinning with angular velocity o,. Disc 2 has rotational inertia lz = 21, and is spinning in the same direction as disc 1 with angular velocity o, = 20, as shown. The two disks are slowly forced toward each other along the shaft until they stick together and rotate with a common final angular velocity. a. Write a conservation of momentum equation for the scenario. b. Explain why this equation describes the scenario. c. Derive an expression for the final angular velocity of the disks, in terms of the symbols given in the scenario. d. Draw a picture of a linear collision between two cars that is similar to this rotational collision. e. Explain how your picture answers d.
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