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26 Nov 2019

It is given that M = 185 kgand R = 1.25 m. Whatif an inner solid cylinder is cutout from it, with a radius of(1/3)R?

(a) What is the moment of inertia of this smaller cylinder?


(b) What is the moment of inertia of the remaining hollowcylinder?(Notice that all answers are independent of thelengthL.)

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Beverley Smith
Beverley SmithLv2
2 Aug 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

The parallel axis theorem providesauseful way to calculate the moment of inertia I aboutanarbitrary axis. The theorem states that I=Icm + Mh2,whereIcm is the moment of inertia of theobjectrelative to an axis that passes through the center of massand isparallel to the axis of interest, M is the totalmass ofthe object, and h is the perpendicular distancebetweenthe two axes. Use this theorem and information to determinethemoment of inertia (kg·m2) of a solid cylinder ofmassM = 7.20 kg and radius R = 6.90 m relativeto anaxis that lies on the surface of the cylinder and isperpendicularto the circular ends.

The parallel axis theorem providesauseful way to calculate the moment of inertia I aboutanarbitrary axis. The theorem states that I=Icm + Mh2,whereIcm is the moment of inertia of theobjectrelative to an axis that passes through the center of massand isparallel to the axis of interest, M is the totalmass ofthe object, and h is the perpendicular distancebetweenthe two axes. Use this theorem and information to determinethemoment of inertia (kg·m2) of a solid cylinder ofmassM = 7.30 kg and radius R = 8.20 m relativeto anaxis that lies on the surface of the cylinder and isperpendicularto the circular ends.

Chapter 9, Problem 46

The parallel axis theorem provides a useful way to calculate themoment of inertia I about an arbitrary axis. The theorem statesthat I = Icm + Mh2, where Icm is the moment of inertia of theobject relative to an axis that passes through the center of massand is parallel to the axis of interest, M is the total mass of theobject, and h is the perpendicular distance between the two axes.Use this theorem and information to determine the moment of inertia(kg·m2) of a solid cylinder of mass M = 8.30 kg and radius R = 8.80m relative to an axis that lies on the surface of the cylinder andis perpendicular to the circular ends.

Number_________ Units ________

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