499_Dynamics 11ed Manual

499_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 16 pin-connected to CD and slides over AB. θ = 60 deg Given: rad s ωAB = 3 Solution: rad α AB = 5 2 b = 0.5 m s Guesses rad s ωCD = 1 arel = 1 a = 0.75 m m 2 s rad α CD = 1 aCx = 1 2 s m 2 vrel = 1 m s aCy = 1 m s 2 s Given ⎛ 0 ⎞ ⎛ 0 ⎞ ⎛ 0 ⎞ ⎛ a sin ( θ ) ⎞ ⎛ sin ( θ ) ⎞ ⎜ ⎟ ⎜⎟ ⎜ ⎟⎜ ⎟ + v ⎜ −cos ( θ ) ⎟ ⎜ 0 ⎟ × ⎜ b ⎟ = ⎜ 0 ⎟ × ⎜ −a cos ( θ ) ⎟ rel⎜ ⎟ ⎜ ωCD ⎟ ⎝ 0 ⎠ ⎜ ωAB ⎟ ⎝ 0 ⎠ ⎝0⎠ ⎝ ⎠ ⎝ ⎠ ⎛ aCx ⎞ ⎛ 0 ⎞ ⎛ 0 ⎞ ⎛ 0 ⎞ ⎡⎛ 0 ⎞ ⎛ 0 ⎞⎤ ⎜ ⎟⎜ ⎟ ⎜⎟ ⎜ ⎟ ⎢⎜ ⎟ ⎜ ⎟⎥ ⎜ aCy ⎟ = ⎜ 0 ⎟ × ⎜ b ⎟ + ⎜ 0 ⎟ × ⎢⎜ 0 ⎟ × ⎜ b ⎟⎥ ⎜ 0 ⎟ ⎜ α CD ⎟ ⎝ 0 ⎠ ⎜ ωCD ⎟ ⎢⎜ ωCD ⎟ ⎝ 0 ⎠⎥ ⎠ ⎝ ⎠ ⎣⎝ ⎠ ⎦ ⎝ ⎠⎝ ⎛ aCx ⎞ ⎛ 0 ⎞ ⎛ a sin ( θ ) ⎞ ⎛ 0 ⎞ ⎡⎛ 0 ⎞ ⎛ a sin ( θ ) ⎞⎤ ⎜ ⎟⎜ ⎟⎜ ⎟ ⎢⎜ ⎟⎜ ⎟⎜ ⎟⎥ ⎜ aCy ⎟ = ⎜ 0 ⎟ × ⎜ −a cos ( θ ) ⎟ + ⎜ 0 ⎟ × ⎢⎜ 0 ⎟ × ⎜ −a cos ( θ ) ⎟⎥ ... ⎜ 0 ⎟ ⎜ α AB ⎟ ⎝ 0 0 ⎠ ⎜ ωAB ⎟ ⎢⎜ ωAB ⎟ ⎝ ⎠⎥ ⎠ ⎝ ⎠ ⎣⎝ ⎠ ⎦ ⎝ ⎠⎝ ⎛ sin ( θ ) ⎞ ⎛ 0 ⎞ ⎡ ⎛ sin ( θ ) ⎞⎤ ⎟⎢⎜ ⎜ ⎟⎜ ⎟⎥ + arel −cos ( θ ) + 2⎜ 0 ⎟ × vrel −cos ( θ ) ⎜ ⎟ ⎢⎜ ⎟⎥ 0 ⎠ ⎜ ωAB ⎟ ⎣ ⎝ 0 ⎠⎦ ⎝ ⎝ ⎠ ⎛ ωCD ⎞ ⎜ ⎟ ⎜ α CD ⎟ ⎜ ⎟ ⎜ vrel ⎟ = Find ( ω , α , v , a , a , a ) CD CD rel rel Cx Cy ⎜ arel ⎟ ⎜ ⎟ ⎜ aCx ⎟ m ⎜a ⎟ vrel = 3.90 ⎝ Cy ⎠ s arel = 134.75 ⎛ aCx ⎞ ⎛ 124.41 ⎞ m ⎜ ⎟=⎜ ⎟ ⎝ aCy ⎠ ⎝ −40.50 ⎠ s2 ωCD = −9.00 m 2 s 497 rad s α CD = −249 rad 2 s ...
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This note was uploaded on 08/16/2011 for the course EGN 3321 taught by Professor Christianfeldt during the Spring '08 term at University of Central Florida.

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