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140_Dynamics 11ed Manual

140_Dynamics 11ed Manual - shore will the boats be at a...

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Engineering Mechanics - Dynamics Chapter 12 v BA v Bv v Av = v BA 20 17.321 mi hr = v BA 26.458 mi hr = a Av v' A 0 = a Av 400 0 mi hr 2 = a Bv v' B sin θ () cos () v B 2 r cos () sin () + = a Bv 1.555 10 3 × 26.154 mi hr 2 = a BA a Bv a Av = a BA 1955 26 mi hr 2 = a BA 1955 mi hr 2 = * Problem 12-200 Two boats leave the shore at the same time and travel in the directions shown with the given speeds. Determine the speed of boat A with respect to boat B . How long after leaving the
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Unformatted text preview: shore will the boats be at a distance d apart? Given: v A 20 ft s = 1 30 deg = v B 15 ft s = 2 45 deg = d 800 ft = Solution: v Av v A sin 1 ( ) − cos 1 ( ) ⎛ ⎜ ⎝ ⎞ ⎟ ⎠ = v Bv v B cos 2 ( ) sin 2 ( ) ⎛ ⎜ ⎝ ⎞ ⎟ ⎠ = v AB v Av v Bv − = v AB 20.607 − 6.714 ⎛ ⎝ ⎞ ⎠ ft s = t d v AB = v AB 21.673 ft s = t 36.913 s = 138...
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