Four objects-a hoop, a solid cylinder, a solid sphere, and a thin, spherical shell-each have a mass of 4.33 kg and a radius of 0.264 m. (a) Find the moment of inertia for each object as it rotates about the axes shown in the table below. Moments of Inertia for Various Rigid Objects of Uniform Composition Hoop or thin cylindrical shell 1 = MR Solid sphere 1- M Solid cylinder or disk Thin spherical shell 1-MR MR2 Long, hin rod with rotation axis through center Long, thin rod with rotation axis I- through end ML? hoop kg - m2 solid cylinder kg - m2 kg - m2 solid sphere thin, spherical shell kg - m2

College Physics
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Chapter8: Rotational Equilibrium And Rotational Dynamics
Section8.7: Angular Momentum
Problem 8.5QQ: A horizontal disk with moment of inertia I1 rotates with angular speed 1 about a vertical...
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Four objects-a hoop, a solid cylinder, a solid sphere, and a thin, spherical shell-each have a mass of 4.33 kg and a radius of 0.264 m.
(a) Find the moment of inertia for each object as it rotates about the axes shown in the table below.
Moments of Inertia for Various Rigid Objects of Uniform Composition
Hoop or thin
cylindrical shell
1 = MR²
Solid sphere
Solid cylinder
or disk
Thin spherical
shell
MR
Long, thin rod
with rotation axis
Long, thin
rod with
rotation axis
through center
ML?
through end
hoop
kg · m2
solid cylinder
kg · m2
solid sphere
kg · m2
thin, spherical shell
kg · m2
Transcribed Image Text:Four objects-a hoop, a solid cylinder, a solid sphere, and a thin, spherical shell-each have a mass of 4.33 kg and a radius of 0.264 m. (a) Find the moment of inertia for each object as it rotates about the axes shown in the table below. Moments of Inertia for Various Rigid Objects of Uniform Composition Hoop or thin cylindrical shell 1 = MR² Solid sphere Solid cylinder or disk Thin spherical shell MR Long, thin rod with rotation axis Long, thin rod with rotation axis through center ML? through end hoop kg · m2 solid cylinder kg · m2 solid sphere kg · m2 thin, spherical shell kg · m2
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