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A hoop, a solid cylinder, a solid sphere, and a thin, spherical shell each Have the same mass Ul 4.20 (a) What is the moment of inertia (in kg · m) for each object as it rotates about its axis? hoop kg m2 solid cylinder kg m2 solid sphere kg · m2 thin, spherical shell kg · m2 (b) Each object is rolled down the same ramp, each starting from rest at the same initial height. Each rolls without slipping. Rank the translational speed at the bottom o the ramp for each object from highest to lowest. O solid cylinder > thin spherical shell > solid sphere > hoop O solid sphere > solid cylinder > thin spherical shell > hoop O hoop > solid cylinder > solid sphere > thin spherical shell O thin spherical shell > solid sphere > solid cylinder > hoop (c) As in part (b), each object is rolled down the same ramp, each starting from rest at the same initial height. Each rolls without slipping. Rank the rotational kinetic energy at the bottom of the ramp for each object highest to lowest. solid cylinder > thin spherical shell > solid sphere > hoop hoop > thin spherical shell > solid cylinder > solid sphere hoop > solid cylinder > solid sphere > thin spherical shell O thin spherical shell > solid sphere > solid cylinder > hoop Need Help? Read It

A hoop, a solid cylinder, a solid sphere, and a thin, spherical shell each Have the same mass Ul 4.20 (a) What is the moment of inertia (in kg · m) for each object as it rotates about its axis? hoop kg m2 solid cylinder kg m2 solid sphere kg · m2 thin, spherical shell kg · m2 (b) Each object is rolled down the same ramp, each starting from rest at the same initial height. Each rolls without slipping. Rank the translational speed at the bottom o the ramp for each object from highest to lowest. O solid cylinder > thin spherical shell > solid sphere > hoop O solid sphere > solid cylinder > thin spherical shell > hoop O hoop > solid cylinder > solid sphere > thin spherical shell O thin spherical shell > solid sphere > solid cylinder > hoop (c) As in part (b), each object is rolled down the same ramp, each starting from rest at the same initial height. Each rolls without slipping. Rank the rotational kinetic energy at the bottom of the ramp for each object highest to lowest. solid cylinder > thin spherical shell > solid sphere > hoop hoop > thin spherical shell > solid cylinder > solid sphere hoop > solid cylinder > solid sphere > thin spherical shell O thin spherical shell > solid sphere > solid cylinder > hoop Need Help? Read It

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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**Educational Text: Moment of Inertia and Rotational Motion** **Context:** Consider a hoop, a solid cylinder, a solid sphere, and a thin spherical shell, each having the same mass of 4.70 kg and the same radius of 0.263 m. **Problem Statement:** **(a) Moment of Inertia Calculation:** Calculate the moment of inertia (in kg·m²) for each object as it rotates about its axis. - Hoop: ______ kg·m² - Solid cylinder: ______ kg·m² - Solid sphere: ______ kg·m² - Thin, spherical shell: ______ kg·m² **(b) Translational Speed Ranking:** Each object is rolled down the same ramp, starting from rest at the same initial height, rolling without slipping. Rank the translational speed at the bottom of the ramp for each object, from highest to lowest: - Solid cylinder > Thin spherical shell > Solid sphere > Hoop - Solid sphere > Solid cylinder > Thin spherical shell > Hoop - Hoop > Solid cylinder > Solid sphere > Thin spherical shell - Thin spherical shell > Solid sphere > Solid cylinder > Hoop **(c) Rotational Kinetic Energy Ranking:** As in part (b), each object is rolled down the same ramp, starting from rest at the same initial height, rolling without slipping. Rank the rotational kinetic energy at the bottom of the ramp for each object, from highest to lowest: - Solid cylinder > Thin spherical shell > Solid sphere > Hoop - Hoop > Thin spherical shell > Solid cylinder > Solid sphere - Hoop > Solid cylinder > Solid sphere > Thin spherical shell - Thin spherical shell > Solid sphere > Solid cylinder > Hoop **Guidance:** This exercise helps understand the concepts of moment of inertia and how it affects rotational motion and energy.
Transcribed Image Text:**Educational Text: Moment of Inertia and Rotational Motion** **Context:** Consider a hoop, a solid cylinder, a solid sphere, and a thin spherical shell, each having the same mass of 4.70 kg and the same radius of 0.263 m. **Problem Statement:** **(a) Moment of Inertia Calculation:** Calculate the moment of inertia (in kg·m²) for each object as it rotates about its axis. - Hoop: ______ kg·m² - Solid cylinder: ______ kg·m² - Solid sphere: ______ kg·m² - Thin, spherical shell: ______ kg·m² **(b) Translational Speed Ranking:** Each object is rolled down the same ramp, starting from rest at the same initial height, rolling without slipping. Rank the translational speed at the bottom of the ramp for each object, from highest to lowest: - Solid cylinder > Thin spherical shell > Solid sphere > Hoop - Solid sphere > Solid cylinder > Thin spherical shell > Hoop - Hoop > Solid cylinder > Solid sphere > Thin spherical shell - Thin spherical shell > Solid sphere > Solid cylinder > Hoop **(c) Rotational Kinetic Energy Ranking:** As in part (b), each object is rolled down the same ramp, starting from rest at the same initial height, rolling without slipping. Rank the rotational kinetic energy at the bottom of the ramp for each object, from highest to lowest: - Solid cylinder > Thin spherical shell > Solid sphere > Hoop - Hoop > Thin spherical shell > Solid cylinder > Solid sphere - Hoop > Solid cylinder > Solid sphere > Thin spherical shell - Thin spherical shell > Solid sphere > Solid cylinder > Hoop **Guidance:** This exercise helps understand the concepts of moment of inertia and how it affects rotational motion and energy.
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