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733_Dynamics 11ed Manual

733_Dynamics 11ed Manual - Engineering Mechanics Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 21 ⎛ vB ⎞ ⎜⎟ ⎜ ωx ⎟ ⎜ ⎟ = Find ( vB , ωx , ωy , ωz) ⎜ ωy ⎟ ⎜ ωz ⎟ ⎝⎠ vG ⎛c⎞ ⎜2⎟ 0⎞ ⎜⎟ ⎛ ⎜ ⎟ b⎟ = ⎜ 0 ⎟ +ω×⎜ ⎜2⎟ ⎜ −vA ⎟ ⎝ ⎠ ⎜ −a ⎟ ⎜⎟ ⎝2⎠ ⎛ ωx ⎞ ⎜⎟ ω = ⎜ ωy ⎟ ⎜ω ⎟ ⎝ z⎠ T= 1⎛ W⎞ ⎛ 0.98 ⎞ rad ω = ⎜ −1.06 ⎟ ⎜ ⎟s ⎝ −1.47 ⎠ vB = 12.00 ft s 2 1⎛ W⎞ L ⎜ ⎟ ( vG vG) + ⎜ ⎟ ( ω ω) 2 ⎝ g ⎠ 12 2⎝ g ⎠ T = 6.46 lb⋅ ft Problem 21-25 At the instant shown the collar at A on rod AB of weight W has velocity vA. Determine the kinetic energy of the rod after the collar has descended a distance d. Neglect friction and the thickness of the rod. Neglect the mass of the collar and the collar is attached to the rod using ball-and-socket joints. Given: W = 6 lb ft vA = 8 s a = 3 ft b = 6 ft c = 2 ft d = 3 ft Solution: L= 2 2 2 a +b +c Guesses vB = 1 ft ωy = 1 rad s s ωx = 1 rad ωz = 1 rad s s 731 ...
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