696_Dynamics 11ed Manual

696_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 20 Solution: Guesses rad s ωx = 1 ωy = 1 rad s ωz = 1 rad s vB = 1 m s Given ⎛ vA ⎟ ⎛ ωx ⎞ ⎛ a ⎞ ⎛ 0 ⎟ ⎜⎞⎜ ⎟⎜⎟⎜⎞ ⎜ 0 ⎟ + ⎜ ωy ⎟ × ⎜ b ⎟ = ⎜ vB ⎟ ⎜ 0 ⎟ ⎜ ω ⎟ ⎝ −c ⎠ ⎜ 0 ⎟ ⎝ ⎠ ⎝ z⎠ ⎝⎠ ⎛ ωx ⎞ ⎛ a ⎞ ⎜ ⎟⎜ ⎟ ⎜ ωy ⎟ ⎜ b ⎟ = 0 ⎜ ω ⎟ ⎝ −c ⎠ ⎝ z⎠ ⎛ ωx ⎞ ⎜⎟ ⎜ ωy ⎟ ⎜ ⎟ = Find ( ωx , ωy , ωz , vB) ⎜ ωz ⎟ ⎜ vB ⎟ ⎝⎠ ⎛ ωx ⎞ ⎛ 1.33 ⎞ ⎜⎟⎜ ⎟ rad ⎜ ωy ⎟ = ⎜ 2.67 ⎟ ⎜ ω ⎟ ⎝ 3.33 ⎠ s ⎝ z⎠ vB = 3.00 *Problem 20-28 The rod is attached to smooth collars A and B at its ends using ball-and-socket joints. At the instant shown, A is moving with speed vA and is decelerating at the rate aA. Determine the acceleration of collar B at this instant. Given: vA = 6 m s a = 0.5 m aA = 5 m b =1m 2 s c =1m Solution: Guesses ωx = 1 rad s ωy = 1 rad s ωz = 1 rad s vB = 1 m s αx = 1 rad αy = 1 rad αz = 1 rad aB = 1 m 2 s 2 s 2 s 694 2 s m 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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