{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

702_Dynamics 11ed Manual

702_Dynamics 11ed Manual - Engineering Mechanics Dynamics...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Engineering Mechanics - Dynamics Chapter 20 ⎞ ⎛ 0 ⎞ ⎛ ω1 ⎟ ⎛ 0 ⎞ ⎜ ⎟⎜ ⎜⎟ vC = vB + ⎜ vCB ⎟ + ⎜ 0 ⎟ × b ⎜⎟ ⎜ 0 ⎟ ⎜ω ⎟ ⎝0⎠ ⎝ ⎠ ⎝ 2⎠ ⎛ −1.00 ⎞ ⎜ ⎟m vC = 5.00 ⎜ ⎟s ⎝ 0.80 ⎠ ⎞ ⎞ ⎞ ⎛ 0 ⎞ ⎡⎛ ω'1 ⎞ ⎛ ω1 ⎟ ⎛ ω1 ⎟⎤ ⎛ 0 ⎞ ⎛ ω1 ⎟ ⎡⎛ ω1 ⎟ ⎛ 0 ⎞⎤ ⎜ ⎟ ⎢⎜ ⎟ ⎜ ⎞ ⎜ ⎥ ⎜⎟ ⎜ ⎢⎜ ⎜ ⎟⎥ aC = aB + ⎜ aCB ⎟ + ⎢⎜ 0 ⎟ + ⎜ 0 ⎟ × ⎜ 0 ⎟⎥ × b + ⎜ 0 ⎟ × ⎢⎜ 0 ⎟ × b ⎥ ... ⎜⎟ ⎜⎟ ⎜ 0 ⎟ ⎢⎜ ω' ⎟ ⎜ 0 ⎟ ⎜ ω ⎟⎥ ⎝ 0 ⎠ ⎜ ω ⎟ ⎢⎜ ω ⎟ ⎝ 0 ⎠⎥ ⎝ ⎠ ⎣⎝ 2 ⎠ ⎝ ⎠ ⎝ 2 ⎠⎦ ⎝ 2 ⎠ ⎣⎝ 2 ⎠ ⎦ ω1 ⎞ ⎛ 0 ⎞ ⎛ ⎜ ⎟⎜ ⎟ + 2⎜ 0 ⎟ × ⎜ vCB ⎟ ⎜ω ⎟ ⎜ 0 ⎟ ⎠ ⎝ 2⎠ ⎝ ⎛ −28.8 ⎞ ⎜ ⎟m aC = −5.45 ⎜ ⎟2 ⎝ 32.3 ⎠ s Problem 20-33 At a given instant, rod BD is rotating about the y axis with angular velocity ωBD and angular acceleration ω'BD. Also, when θ = θ1 , link AC is rotating downward such that θ' = ω2 and θ'' = α2. Determine the velocity and acceleration of point A on the link at this instant. Given: ωBD = 2 rad s θ 1 = 60 deg ω'BD = 5 rad ω2 = 2 rad s α2 = 8 rad 2 s L = 3 ft 2 s Solution: ⎛ −ω2 ⎞ ⎜ ⎟ ω = ⎜ −ωBD ⎟ ⎜ ⎟ ⎝0⎠ ⎛ −α 2 ⎞ ⎛ 0 ⎞ ⎜ ⎟⎜ ⎟ α = ⎜ −ω'BD ⎟ + ⎜ −ωBD ⎟ × ω ⎜ ⎟⎜ ⎟ ⎝0⎠⎝0⎠ 700 0 ⎛ ⎞ ⎜ ⎟ rA = ⎜ L cos ( θ 1 ) ⎟ ⎜ −L sin ( θ ) ⎟ 1⎠ ⎝ ...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online