690_Dynamics 11ed Manual

690_Dynamics 11ed Manual - x y z ⎛ ⎜ ⎜ ⎜ ⎝ ⎞...

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Engineering Mechanics - Dynamics Chapter 20 v B 12 ft s = a B 96.5 ft s 2 = Problem 20-22 Rod AB is attached to a disk and a collar by ball-and-socket joints. If the disk is rotating at a constant angular velocity ω , determine the velocity and acceleration of the collar at A at the instant shown. Assume the angular velocity is directed perpendicular to the rod. Given: 2 rad s = r 1f t = b 3f t = Solution: Guesses α x 1 rad s = ω x 1 rad = ω y 1 rad = α y 1 rad s = ω z 1 rad = α z 1 rad s 2 = v A 1 ft s = a A 1 ft s 2 = 0 ω r 0
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Unformatted text preview: x y z ⎛ ⎜ ⎜ ⎜ ⎝ ⎞ ⎟ ⎟ ⎟ ⎠ b r − r − ⎛ ⎜ ⎜ ⎝ ⎞ ⎟ ⎟ ⎠ × + v A ⎛ ⎜ ⎜ ⎝ ⎞ ⎟ ⎟ ⎠ = x y z ⎛ ⎜ ⎜ ⎜ ⎝ ⎞ ⎟ ⎟ ⎟ ⎠ b r − r − ⎛ ⎜ ⎜ ⎝ ⎞ ⎟ ⎟ ⎠ = x y z ⎛ ⎜ ⎜ ⎜ ⎝ ⎞ ⎟ ⎟ ⎟ ⎠ b r − r − ⎛ ⎜ ⎜ ⎝ ⎞ ⎟ ⎟ ⎠ = 688...
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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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