Analytical Mech Homework Solutions 7

Analytical Mech Homework Solutions 7 - at t = b , v = bc...

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at b t = , c ˆ v τ = K b c and ˆˆ ac c n = + K 2 1 cos 2 2 va cb c va bc c θ == = KK 45 = D 1.17 () ( ) ( ) sin 2 cos vt i b t jb t ω ωω =− + K () 11 22 2 2 2 sin 4 cos 1 3cos vb tb t b t =+ = + K K cos 2 sin at i b t jb t 1 2 13 s i n ab t K at , 0 t = 2 = K ; at 2 t π = , = K 1.18 ˆ cos sin 2 i b t j b t kc t =−+ K K ˆ sin cos 2 i b b + 24 2 2 2 2 sin cos 4 4 t b tc b c =++ = + K 1.19 ˆ kt kt rr v re r e bke e bce e ˆ = + K ± ± K ( ) ( ) 2 ˆ kt kt ar re r reb kc e e b c k e e ˆ θθ + + = + ±± ± ± ± 222 2 2 2 2 1 1 2 2 2 2 2 2 cos 4 kt kt kt kt bk k c e bcke va be k c be k c c k φ −+ +− + cos kk c k kc kc + ++ + , a constant 1.20 2 Rz aRRe RRez e φφ + + + K ± K ˆ e 2 2 e c + 1 2 2 4 c K 7
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