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Analytical Mech Homework Solutions 7

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

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at b t = , c ˆ v τ = K bc and ˆ ˆ a c cn τ = + K 2 1 cos 2 2 v a c bc va bc c θ = = = K K 45 θ = D 1.17 ( ) ( ) ( ) ˆ ˆ sin 2 cos v t ib t j b t ω ω ω = − + K ω ( ) ( ) 1 1 2 2 2 2 2 2 2 2 2 sin 4 cos 1 3cos v b t b t b t ω ω ω ω ω ω = + = + K K ( ) 2 2 ˆ ˆ cos 2 sin a t ib t j b t ω ω ω = − ω ( ) 1 2 2 2 1 3sin a b t ω ω = + K at , 0 t = 2 v b ω = K ; at 2 t π ω = , v b ω = K 1.18 ( ) ˆ ˆ ˆ cos sin 2 v t ib t jb t k ct ω ω ω ω = + K K ( ) 2 2 ˆ ˆ ˆ sin cos 2 a t ib t jb t k c ω ω ω ω = − + ( ) ( ) 1 1 2 4 2 2 4 2 2 2 4 2 2 2 sin cos 4 4 a b t b t c b c ω ω ω ω ω = + + = + K 1.19 ˆ ˆ ˆ kt kt r r v re r e bke e bce e ˆ θ θ θ = + = + K ± ± K ( ) ( ) ( ) 2 2 2 ˆ ˆ ˆ 2 2 kt kt r r a r r e r r e b k c e e bcke e ˆ θ θ θ θ θ = + + = + ± ±± ± ±± ± ( ) ( ) ( ) 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 cos 4 kt kt kt kt b k k c e b c ke v a va be k c be k c c k φ + = = + +
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