139_Dynamics 11ed Manual

139_Dynamics 11ed Manual - Engineering Mechanics Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics ⎛ −sin ( θ ) ⎞ ⎟ ⎝ cos ( θ ) ⎠ Chapter 12 vBv = vB⎜ vBv = ⎛ −10 ⎞ mi ⎜ ⎟ ⎝ 17.321 ⎠ hr vBA = vBv − vAv vBA = ⎛ 20 ⎞ mi ⎜ ⎟ ⎝ 17.321 ⎠ hr aAv = ⎛ 0 ⎞ mi ⎜⎟ 2 ⎝ 0 ⎠ hr aAv = aBv ⎛ −v'A ⎞ ⎜ ⎟ ⎝0⎠ 2 ⎛ −sin ( θ ) ⎞ vB ⎛ cos ( θ ) ⎞ = v'B ⎜ ⎟+ ⎜ ⎟ r ⎝ sin ( θ ) ⎠ ⎝ cos ( θ ) ⎠ aBA = aBv − aAv aBA = vBA = 26.5 aBv = ⎛ 555 ⎞ mi ⎜ ⎟ ⎝ 1706 ⎠ hr2 mi hr ⎛ 554.701 ⎞ mi ⎜ 3⎟ ⎝ 1.706 × 10 ⎠ hr2 aBA = 1794 mi hr 2 Problem 12-199 At the instant shown, cars A and B are traveling at speeds vA and vB respectively. If A is increasing its speed at v'A whereas the speed of B is decreasing at v'B, determine the velocity and acceleration of B with respect to A. Given: vA = 30 mi hr vB = 20 mi hr mi v'A = 400 hr v'B = −800 2 mi hr 2 θ = 30 deg r = 0.3 mi Solution: ⎛ −1 ⎞ ⎟ ⎝0⎠ vAv = ⎛ −30 ⎞ mi ⎜ ⎟ ⎝ 0 ⎠ hr ⎛ −sin ( θ ) ⎞ ⎟ ⎝ cos ( θ ) ⎠ vBv = ⎛ −10 ⎞ mi ⎜ ⎟ ⎝ 17.321 ⎠ hr vAv = vA⎜ vBv = vB⎜ 137 ...
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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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