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
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 59P: A rigid, massless rod has three particles with equal masses attached to it as shown in Figure P8.59....
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A hoop, a solid cylinder, a solid sphere, and a thin, spherical shell each have the same mass of 4.70 kg and the same radius of 0.263 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
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
O thin spherical shell > sollid sphere > solid cylinder > hoop
2 o
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Transcribed Image Text:A hoop, a solid cylinder, a solid sphere, and a thin, spherical shell each have the same mass of 4.70 kg and the same radius of 0.263 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 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 O thin spherical shell > sollid sphere > solid cylinder > hoop 2 o Need Help? Read It
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