Analytical Mech Homework Solutions 103

Analytical Mech Homework Solutions 103 - 1 CHAPTER 8...

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1 CHAPTER 8 MECHANICS OF RIGID BODIES: PLANAR MOTION 8.1 (a) For each portion of the wire having a mass 3 m and centered at , 22 bb    , ( ) 0,0 , and , y x b b 1 00 23 cm bm x m    = −+ +       = 1 0 cm b y m 3 = ++ = (b) () 1 2 ds xdy b y dy ==− 1 2 0 1 b cm yy b y m ρ =− d y 1 2 0 2 2 1 4 yb y cm byd by y b πρ = = −− − = 4 y 3 cm b π = From symmetry, 4 x 3 cm b = (c) The center of mass is on the y-axis. 1 2 ds xdy by dy == 3 1 2 2 11 0 0 2 2 cm b b y d y yd y y by dy y ∫∫ 3 y = 5 cm b (d) The center of mass is on the z-axis.
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This note was uploaded on 01/06/2012 for the course PHYSICS 4360C taught by Professor Johnanderson during the Fall '11 term at UNF.

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