686_Dynamics 11ed Manual

686_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 20 ⎞ ⎛ 0 ⎞ ⎛ a ⎞ ⎛ ωABx ⎟ ⎛ b ⎞ ⎛ ωBD ⎞ ⎛ 0 ⎞ ⎛ 0 ⎞ ⎜ ⎟ ⎜⎟ ⎜ ⎟ ⎜ ⎟ ⎜ ⎟ ft ⎜⎟⎜ ⎜ 0 ⎟ × ⎜ 0 ⎟ + ⎜ ωABy ⎟ × ⎜ d ⎟ + ⎜ 0 ⎟ × ⎜ −d ⎟ = ⎜ 0 ⎟ ⎜ ωAC ⎟ ⎝ 0 ⎠ ⎜ ω ⎟ ⎝ −c ⎠ ⎜ 0 ⎟ ⎝ 0 ⎠ ⎝ 0 ⎠ s ⎝ ⎠ ⎝ ⎠ ⎝ ABz ⎠ ⎛ ωBD ⎞ ⎜ ⎟ ⎜ ωABx ⎟ ⎜ ⎟ = Find ( ωBD , ωABx , ωABy , ωABz) ⎜ ωABy ⎟ ⎜ ωABz ⎟ ⎝ ⎠ ⎛ ωABx ⎞ ⎛ b ⎞ ⎜ ⎟⎜ ⎟ ft ⎜ ωABy ⎟ ⎜ d ⎟ = 0 s ⎜ ω ⎟ ⎝ −c ⎠ ABz ⎠ ⎝ ⎛ ωABx ⎞ ⎛ −1.633 ⎞ ⎜ ⎟⎜ ⎟ rad ⎜ ωABy ⎟ = ⎜ 0.245 ⎟ ⎜ ω ⎟ ⎝ −0.735 ⎠ s ⎝ ABz ⎠ ωBD = −2 rad s Problem 20-19 Rod AB is attached to the rotating arm using ball-and-socket joints. If AC is rotating about the pin at C with angular velocity ωAC and angular acceleration αAC, determine the angular velocity and angular acceleration of link BD at the instant shown. Given: a = 1.5 ft ωAC = 8 rad s b = 3 ft α AC = 6 rad c = 6 ft 2 s d = 2 ft Solution: Guesses ωBD = 1 ωABx = 1 ωABy = 1 ωABz = 1 rad s α BD = 1 rad s α ABx = 1 rad s α ABy = 1 rad s α ABz = 1 rad 2 s rad 2 s rad 2 s rad 2 s 684 ...
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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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