504_Dynamics 11ed Manual

504_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 16 Solution: ⎛ 0 ⎞ ⎛ −a cos ( θ ) ⎞ ⎛ 0 ⎞ ⎛ −b ⎞ ⎜⎟⎜ ⎟⎜⎟ ⎟+⎜ 0 vC = ⎜ 0 ⎟ × a sin ( θ ) ⎜ ⎟×⎜ 0 ⎟ ⎜ ⎟ ⎜ ωf ⎟ ⎝ 0 ⎠ ⎜ ωf + ωAf ⎟ ⎝ 0 ⎠ ⎝⎠ ⎝ ⎠ ⎛ −7.50 ⎞ ft vC = ⎜ −36.99 ⎟ ⎜ ⎟s ⎝ 0.00 ⎠ ⎤⎜ ⎞ ⎡⎛ 0 ⎞ ⎛ −b ⎞⎥ ⎛ 0 ⎞ ⎡⎛ 0 ⎞ ⎛ −a cos ( θ ) ⎞⎥ ⎛ 0 ⎜ ⎟ ⎢⎜ ⎟ ⎜ ⎟ ⎢⎜ ⎟ ⎜ ⎟⎤ ⎟+ 0 aC = ⎜ 0 ⎟ × ⎢⎜ 0 ⎟ × a sin ( θ ) ⎥ ⎜ ⎟ × ⎢⎜ 0 ⎟ × ⎜ 0 ⎟⎥ ⎜ ⎟ ⎜ ωf ⎟ ⎢⎜ ωf ⎟ ⎝ 0 ⎠⎥ ⎜ ωf + ωAf ⎟ ⎢⎜ ωf + ωAf ⎟ ⎝ 0 ⎠⎥ ⎝ ⎠ ⎣⎝ ⎠ ⎦⎝ ⎠ ⎣⎝ ⎠ ⎦ ⎛ 84.99 ⎞ ft aC = ⎜ −7.50 ⎟ ⎜ ⎟ s2 ⎝ 0.00 ⎠ Problem 16-150 The block B of the “quick-return” mechanism is confined to move within the slot in member CD. If AB is rotating at a constant rate of ωAB, determine the angular velocity and angular acceleration of member CD at the instant shown. Given: ωAB = 3 rad s rAB = 50 mm rBC = 200 mm θ = 30 deg φ = 30 deg 502 ...
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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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