Analytical Mech Homework Solutions 131

Analytical Mech Homework Solutions 131 - (b) From equation...

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(b) From equation 9.7.12, 22 4 s I SM g l I 4 3 s I I = , 1 2 3 33 0 2 s ma Ml cm ma Ia    == = () 2 21 2 1 43 4 6 0 4 980 20 3 2 ss Mgl I rpm Sc m c m s II s π −− ≥⋅ = 267 Sr p m 9.17 (Neglecting the pencil head) From Table 8.3.1, 2 2 2 28 s b m mb I The moment of inertia of the pencil about an axis thru its center of mass and to its symmetry axis from equation 8.3.26 . .. 2 2 41 2 1 6 1 2 c b ab Im m   =+ = +  2 a From the parallel axis theorem, 2 6 c II m m = + 3 a a b From equation 9.7.12, 2 2 4 s MglI S I 2 24 4 6 3 64 a mg m S mb + ( ) 11 2 2 1 2 2 980 20 16 16 1 20 6 3 2 1 1 ga b a b   ≥+ = +     a d s 1 18,294 2910 S rad s rps = 9.18 s rim spokes hub I I + 2 2 2 rim
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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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