Analytical Mech Homework Solutions 68

Analytical Mech Homework Solutions 68 - k If 1 2 < 0 ml k...

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If 2 10 k ml  +<   , 2 2 0 du cu d θ −= , , for which ua 0 c > b e = is a solution. If 2 k ml += , 2 2 0 d = 1 du C d = 12 uc c =+ 1 r cc = + If 2 k ml +> , 2 2 0 cu d + = , 0 c > () cos uA c δ 1 2 cos 1 k rA ml θδ  +   6.12 11 cos u rr == D 2 sin cos du dr = D 22 23 11 2 s i n cos cos θθ D = 2 2 c o s cos cos cos cos + =−  DD 2 2 21 2 ur u r u u d = Substituting into equation 6.5.10 … 1 1 2 ru f u ml u −+= D 2 2 5 f m l D u 5 2 rm l fr r D 6.13 From Chapter 1, the transverse component of the acceleration is … 2 ar r ±± ± ± If this term is nonzero, then there must be a transverse force given by … ( 2 ) f mr r ± ± For ra = , and bt = 2 20 fm a b =≠
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