Hw2 - mass and perpendicular to the plane of the sector(5 As in class let I x 1,y 1 = ZZ D ± x-x 1 2 y-y 1 2 ² ρ x,y dA denote the moment of

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32B Killip Homework 2 Due Wednesday April 14 (1) From Section 16.4: 14, 28, 32, and 34. (In 5th Ed: 16, 28, 32, and 34.) (2) From Section 16.5: 16 and 28. (In 5th Ed: 14 and 24.) (3) Given a,b > 0, determine the center of mass of a homogeneous triangle with vertices (0 , 0), (1 , 0), and ( a,b ). Show that it lies at the intersection of the medians. (4) Determine the center of mass of the homogeneous sector 0 θ π/ 6, 0 r 1. Determine the moment of inertia of the sector for rotations about the axis passing though the center of
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Unformatted text preview: mass and perpendicular to the plane of the sector. (5) As in class, let I ( x 1 ,y 1 ) = ZZ D ± ( x-x 1 ) 2 + ( y-y 1 ) 2 ² ρ ( x,y ) dA denote the moment of inertia of a laminar body about the axis x = x 1 , y = y 1 , z arbitrary. If (¯ x, ¯ y ) denotes the center of mass and m denotes the total mass, show that I ( x 1 ,y 1 ) = I (¯ x, ¯ y ) + m ± (¯ x-x 1 ) 2 + (¯ y-y 1 ) 2 ² . 1...
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This note was uploaded on 06/03/2011 for the course PHYSICS 1B 1b taught by Professor Corbin during the Winter '10 term at UCLA.

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