734_Dynamics 11ed Manual

# 734_Dynamics 11ed Manual - Engineering Mechanics Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 21 ⎛ 0 ⎞ ⎛ ωx ⎞ ⎛ c ⎞ ⎛ vB ⎞ ⎜ ⎟⎜ ⎟⎜⎟⎜⎟ ⎜ 0 ⎟ + ⎜ ωy ⎟ × ⎜ b ⎟ = ⎜ 0 ⎟ ⎜ −vA ⎟ ⎜ ω ⎟ ⎝ −a ⎠ ⎜ 0 ⎟ ⎝ ⎠ ⎝ z⎠ ⎝⎠ Given ⎛ ωx ⎞ ⎛ c ⎞ ⎜ ⎟⎜ ⎟ ft ⎜ ωy ⎟ ⎜ b ⎟ = 0 s ⎜ ω ⎟ ⎝ −a ⎠ ⎝ z⎠ ⎛ vB ⎞ ⎜⎟ ⎜ ωx ⎟ ⎜ ⎟ = Find ( vB , ωx , ωy , ωz) ⎜ ωy ⎟ ⎜ ωz ⎟ ⎝⎠ ⎛ ωx ⎞ ⎜⎟ ω = ⎜ ωy ⎟ ⎜ω ⎟ ⎝ z⎠ vG ⎛ 0.98 ⎞ rad ω = ⎜ −1.06 ⎟ ⎜ ⎟s ⎝ −1.47 ⎠ vB = 12.00 ft s ⎛c⎞ ⎜2⎟ 0⎞ ⎜⎟ ⎛ ⎜ ⎟ b⎟ = ⎜ 0 ⎟ +ω×⎜ ⎜2⎟ ⎜ −vA ⎟ ⎝ ⎠ ⎜ −a ⎟ ⎜⎟ ⎝2⎠ T1 = 1⎛ W⎞ ⎜ 2⎝ g ⎟ ( vG⋅ vG) + ⎠ In position 2 the center of mass has fallen a distance d/2 2⎞ ⎜ ⎟ ( ω⋅ ω) ⎜⎟ 2 ⎝ g ⎠ ⎝ 12 ⎠ 1 ⎛ W ⎞⎛ L T1 = 6.46 lb⋅ ft T1 + 0 = T2 − W ⎛ ⎜ d⎞ ⎟ ⎝ 2⎠ T2 = T1 + W ⎛ ⎜ d⎞ ⎟ ⎝ 2⎠ T2 = 15.5 lb⋅ ft Problem 21-26 The rod AB of mass MAB is attached to the collar of mass MA at A and a link BC of mass MBC using ball-and-socket joints. If the rod is released from rest in the position shown, determine the angular velocity of the link after it has rotated 180° . Given: MAB = 4 kg MA = 1 kg 732 ...
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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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