problem09_60

University Physics with Modern Physics with Mastering Physics (11th Edition)

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9.60: For this case, . dx dm γ = a) 2 2 2 0 0 2 yL x γ γx dx dm Μ L L = = = = b) = = = = L Μ γL L L x γ dx γx x Ι 0 2 2 4 0 4 2 . 4 ) ( 4 This is larger than the moment of inertia of a uniform rod of the same mass and length, since the mass density is greater further away from the axis than nearer the axis. c) - = L γxdx x L Ι 0 2 ) ( . 6 12 4 3 2 2 ) 2 ( 2 4 0 4 3 2
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