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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 ± ( xx 1 ) 2 + ( yy 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 ± (¯ xx 1 ) 2 + (¯ yy 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.
 Winter '10
 Corbin

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