PHYS171_f11_lecture_37

# PHYS171_f11_lecture_37 - PHYS171 Photo was taken in...

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PHYS171 Photo was taken in Mary l and Ne w Y or k Cal i fornia Uta h Montana 19% 23% 16% 35% 6% 1. Maryland 2. New York 3. California 4. Utah 5. Montana

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Chapter 10 Rotation Moment of inertia (I) is the “mass” of rotation equations ∫∫ = = = = dV r dm r r m I I E K i i i 2 2 2 2 2 1 . . ρ ω Moment of inertia depends on the geometry of the object as well as its mass Examples: •Uniform rod •Solid Cylinder Chapter 10 Rotation Moments of Inertia for common shapes () 2 2 2 2 2 2 2 2 2 1 2 3 2 5 2 12 1 12 1 2 1 2 1 MR MR ML b a M MR R R M MR + + Cylindrical shell of radius R Hollow cylinder with inner and outer radii R 1 and R 2 Solid cylinder of radius R Rectangular plate with dimensions a × b Thin rod of length L Solid sphere of radius R Spherical shell of radius R
Chapter 10 Rotation Moment of inertia depends on axis about which it is calculated Parallel axis theorem tells us how to calculate moment about one axis given the moment about the center of mass M: total mass D: displacement of axis from CM

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## This note was uploaded on 12/29/2011 for the course PHYSICS 171 taught by Professor La porta during the Fall '11 term at Maryland.

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PHYS171_f11_lecture_37 - PHYS171 Photo was taken in...

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