732_Dynamics 11ed Manual

732_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 21 ⎛0⎟ ⎜⎞ Imat⎜ 0 ⎟ oa = Ioaω2 ⎜ ω1 ⎟ ⎝⎠ Given ⎛ 0.00 ⎞ rad ω2 oa = ⎜ −0.75 ⎟ ⎜ ⎟s ⎝ 1.00 ⎠ ω2 = Find ( ω2 ) *Problem 21-24 Rod AB has weight W and is attached to two smooth collars at its end points by ball-and-socket joints. If collar A is moving downward at speed vA, determine the kinetic energy of the rod at the instant shown. Assume that at this instant the angular velocity of the rod is directed perpendicular to the rod’s axis. Given: W = 6 lb vA = 8 ft s a = 3 ft b = 6 ft c = 2 ft L= Solution: 2 2 2 a +b +c Guesses vB = 1 ft ωy = 1 rad Given s s ωx = 1 rad ωz = 1 rad s s ⎛ 0 ⎞ ⎛ ωx ⎞ ⎛ c ⎞ ⎛ vB ⎞ ⎜ ⎟⎜ ⎟⎜⎟⎜⎟ ⎜ 0 ⎟ + ⎜ ωy ⎟ × ⎜ b ⎟ = ⎜ 0 ⎟ ⎜ −vA ⎟ ⎜ ω ⎟ ⎝ −a ⎠ ⎜ 0 ⎟ ⎝ ⎠ ⎝ z⎠ ⎝⎠ ⎛ ωx ⎞ ⎛ c ⎞ ⎜ ⎟⎜ ⎟ ft ⎜ ωy ⎟ ⎜ b ⎟ = 0 s ⎜ ω ⎟ ⎝ −a ⎠ z⎠ ⎝ 730 ...
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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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