Analytical Mech Homework Solutions 127

Analytical Mech - I 1 tan Is tan = I 1 tan 2 Is I s I tan 2 I s I tan = tan 1 Is a maximum I I tan For s = 2 tan = I 2 tan 2 d tan 1 2 tan 2 2 tan

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() 2 1t a n tan a n s s I I I I α αθ    −= + 1 2 tan tan tan s s II   +  9.11 θ is a maximum for s I I a maximum. For 2 s I I = , 2 tan tan 2t a n + 22 2 tan 1 2tan 2 tan tan 2 tan a n a n d d αα =− = + ++ At the maximum, 2 tan 02t a n tan d d ==− 1 tan 2 54.7 == D 2 1 12 2 2 tan 1 4 2 −≤ = + 1 2 tan 19.5 4 = D 9.12 (a) From Problem 9.10, for s I I > , the angle between ω G and L G is … 1 2 tan tan tan s s + From Problem 9.9(a), 2 s I I = and tan tan 45 1 = = D 11 tan tan 18.4 21 3 −− = = + D (b) From Prob. 9.9(b), 2 2 12 s ma I =⋅ and 2 17 16 12 ma I 17 2 15 16 tan tan 17.0 17 49 2 16
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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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