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705_Dynamics 11ed Manual

# 705_Dynamics 11ed Manual - ⎜ ⎝ ⎞ ⎟ ⎟ ⎠ × 1 −...

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Engineering Mechanics - Dynamics Chapter 20 *Problem 20-36 At the instant shown, the frame of the brush cutter is traveling forward in the x direction with a constant velocity v , and the cab is rotating about the vertical axis with an angular velocity ω 1 , which is increasing at ' 1 . At the same instant the boom AB has an angular velocity θ ' , which is increasing at '' . Determine the velocity and acceleration of point B at the connection to the mower at this instant. Given: 1 0.5 rad s = ' 1 0.4 rad s 2 = ' 0.8 rad s = '' 0.9 rad s 2 = v 1 m s = a 1m = b 8m = Solution: v B v 0 0 ' 0 1 a b 0 × + = v B 5 0.5 6.4 m s = a B '' 1 ' ' 1 a b 0
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Unformatted text preview: ⎜ ⎝ ⎞ ⎟ ⎟ ⎠ × ' 1 − ⎛ ⎜ ⎜ ⎝ ⎞ ⎟ ⎟ ⎠ ' 1 − ⎛ ⎜ ⎜ ⎝ ⎞ ⎟ ⎟ ⎠ a b ⎛ ⎜ ⎜ ⎝ ⎞ ⎟ ⎟ ⎠ × ⎡ ⎢ ⎢ ⎣ ⎤ ⎥ ⎥ ⎦ × + = a B 2.95 7.52 − 7.20 ⎛ ⎜ ⎜ ⎝ ⎞ ⎟ ⎟ ⎠ m s 2 = Problem 20-37 At the instant shown, rod BD is rotating about the vertical axis with an angular velocity BD and an angular acceleration α BD . Link AC is rotating downward. Determine the velocity and acceleration of point A on the link at this instant. 703...
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