463_Dynamics 11ed Manual

463_Dynamics 11ed Manual - Engineering Mechanics Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 16 Solution: ω= vA ω = 30.79 a cos ( θ ) rad s (−a sin ( θ ) + a cos (θ ) )2 + (a sin ( θ )) 2 vD = ω vD = 5.72 Problem 16-102 If the slider block A is moving to the right with speed vA, determine the velocities of blocks B and C at the instant shown. Given: vA = 8 ft s rAD = 2 ft θ 1 = 45 deg rBD = 2 ft θ 2 = 30 deg rCD = 2 ft Solution: rAIC = ( rAD + rBD) sin ( θ 1 ) rBIC = ( rAD + rBD) cos ( θ 1 ) rCID = rAIC + rAD − 2rAIC rAD sin ( θ 1 ) 2 ⎛ rAD φ = asin ⎜ ⎝ rCID 2 ⎞ cos ( θ 1 )⎟ ⎠ γ = 90 deg − φ − θ 2 sin ( γ ) ⎛ ⎞ ⎟ sin ( 90 deg + φ ) ⎠ ⎝ r'CIC = rCD⎜ sin ( θ 2 ) ⎞ ⎛ ⎟ ⎝ sin ( 90 deg + φ ) ⎠ r'DIC = rCD⎜ ωAB = vA rAIC vB = ωAB rBIC vB = 8.00 461 ft s m s ...
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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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