441_Dynamics 11ed Manual

441_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics ωP = vA Chapter 16 ωP = 6.00 ωA = 2.00 2r1 rad s rad s vC = ωP r1 ωA = vC r2 + r1 Problem 16-67 If bar AB has an angular velocity ωAB, determine the velocity of the slider block C at the instant shown. Given: ωAB = 6 rad s θ = 45 deg φ = 30 deg rAB = 200 mm rBC = 500 mm Solution: Guesses ωBC = 2 vC = 4 rad s m s Given ⎞ ⎛ 0 ⎞ ⎛ rAB cos ( θ ) ⎞ ⎛ 0 ⎟ ⎛ rBC cos ( φ ) ⎟ ⎛ vC ⎟ ⎞⎜ ⎜ ⎟⎜ ⎟⎜ ⎜⎞ 0 ⎟ × ⎜ rAB sin ( θ ) ⎟ + ⎜ 0 ⎟ × ⎜ −rBC sin ( φ ) ⎟ = ⎜ 0 ⎟ ⎜ ⎜ ωAB ⎟ ⎜ ⎟ ⎜ ωBC ⎟ ⎜ ⎟ ⎜0⎟ ⎝ ⎠⎝ 0 ⎠⎝ 0 ⎠⎝ ⎠⎝⎠ ⎛ ωBC ⎞ ⎜ ⎟ = Find ( ωBC , vC) ⎝ vC ⎠ ωBC = −1.96 439 rad s vC = −1.34 m s ...
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