Analytical Mech Homework Solutions 169

Analytical Mech - 6 11.9 From Problem 11.5 V0 = mg b a V0 = g(b a m 2 2 T0 = = g(b a = 11.10 mg a b 3b 5a 8a m 2a T0 = 2 = 4 g a b 3b 5a V0 From

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6 11.9 From Problem 11.5, Vm () 0 g b a ′′ =− 0 V gb a m ω ==− 0 22 T π == 11.10 From Problem 11.7, ( 0 35 8 mg b b a =+− ) a Va ( ) 0 0 2 24 ma T ga b b a V ππ +− 11.11 11 cm Tm v I ϕ =+ ± a b φ θ ( ) cm vb a θ ± 2 2 5 I ma = The relationship between the angles, and (see Figure), can be determined from the condition that there is no slipping as the ball rolls in the hemisphere, so the length of roll measured along the ball, ( a ) + , must equal the length of roll measured along the hemisphere, b … so we have …
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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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