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A hoop, a solid cylinder, a solid sphere, and a thin, spherical shell each have the same mass of 4.27 kg and the same radius of 0.251 m. (a) What is 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) 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 of 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. O solid cylinder > thin spherical shell > solid sphere > hoop O hoop > thin spherical shell > solid cylinder > solid sphere O hoop > solid cylinder > solid sphere > thin spherical shell O thin spherical shell > solid sphere > solid cylinder > hoop

A hoop, a solid cylinder, a solid sphere, and a thin, spherical shell each have the same mass of 4.27 kg and the same radius of 0.251 m. (a) What is 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) 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 of 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. O solid cylinder > thin spherical shell > solid sphere > hoop O hoop > thin spherical shell > solid cylinder > solid sphere O hoop > solid cylinder > solid sphere > thin spherical shell O thin spherical shell > solid sphere > solid cylinder > hoop

College Physics
College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter8: Rotational Equilibrium And Rotational Dynamics
Section: Chapter Questions
Problem 65P: A cylinder with moment of inertia I1 rotates with angular velocity 0 about a frictionless vertical...
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A hoop, a solid cylinder, a solid sphere, and a thin, spherical shell each have the same mass of 4.27 kg and the same radius of 0.251 m. (a) What is the moment of inertia (in kg - m-) for each object as it rotates about its axis? hoop kg ml solid cylinder kg m solid sphere 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 of 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 O hoop > thin spherical shell > solid cylinder > solid sphere O hoop > solid cylinder > solid sphere > thin spherical shell thin spherical shell > solid sphere > solid cylinder > hoop
Transcribed Image Text:A hoop, a solid cylinder, a solid sphere, and a thin, spherical shell each have the same mass of 4.27 kg and the same radius of 0.251 m. (a) What is the moment of inertia (in kg - m-) for each object as it rotates about its axis? hoop kg ml solid cylinder kg m solid sphere 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 of 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 O hoop > thin spherical shell > solid cylinder > solid sphere O hoop > solid cylinder > solid sphere > thin spherical shell thin spherical shell > solid sphere > solid cylinder > hoop
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