An object can possess kinetic energy in its translational motion and its rotation about its own axis. Furthermore, for a rolling object, the linear velocity and the angular velocity are related, through the objecť's radius. Moments of inertia of common objects have been calculated and tabulated (see your textbook for a small table, or Wikipedia for a larger one). For objects of circular geometry, this is some multiple of mR?, with m and R respectively the object's mass and radius. (for instance, a solid disk rotating like a wheel has I =mR?.) The kinetic energy of a rolling object consists of the translational and rotational terms: 1 1 K = mv². 1. Using the relationship between w and v for a rolling object, and moment of inertia I from a reference table, derive formulas for the kinetic energy in terms of the linear velocity v and mass m, for the following objects: a. Solid, uniform sphere b. Solid, uniform cylinder or disk c. Hollow, uniform sphere d. Uniform circular hoop

An object can possess kinetic energy in its translational motion and its rotation about its own axis. Furthermore, for a rolling object, the linear velocity and the angular velocity are related, through the objecť's radius. Moments of inertia of common objects have been calculated and tabulated (see your textbook for a small table, or Wikipedia for a larger one). For objects of circular geometry, this is some multiple of mR?, with m and R respectively the object's mass and radius. (for instance, a solid disk rotating like a wheel has I =mR?.) The kinetic energy of a rolling object consists of the translational and rotational terms: 1 1 K = mv². 1. Using the relationship between w and v for a rolling object, and moment of inertia I from a reference table, derive formulas for the kinetic energy in terms of the linear velocity v and mass m, for the following objects: a. Solid, uniform sphere b. Solid, uniform cylinder or disk c. Hollow, uniform sphere d. Uniform circular hoop

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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