143_Dynamics 11ed Manual

143_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 12 2 ⎛ −cos ( θ ) ⎞ vB ⎛ −sin ( θ ) ⎞ aB = v'B ⎜ ⎟+ ⎜ ⎟ ⎝ sin ( θ ) ⎠ rB ⎝ −cos ( θ ) ⎠ aAB = aA − aB aAB = aB = ⎛ 10.692 ⎞ ft ⎜ ⎟ ⎝ 16.701 ⎠ s2 ⎛ −25.692 ⎞ ft ⎜ ⎟ ⎝ −43.701 ⎠ s2 aAB = 19.83 ft 2 s *Problem 12–204 The airplane has a speed relative to the wind of vA. If the speed of the wind relative to the ground is vW, determine the angle θ at which the plane must be directed in order to travel in the direction of the runway. Also, what is its speed relative to the runway? Given: vA = 100 mi hr vW = 10 mi hr φ = 20 deg Solution: Guesses θ = 1 deg vAg = 1 Given mi hr ⎛0⎞ ⎛ sin ( θ ) ⎞ ⎛ −cos ( φ ) ⎞ ⎜ ⎟ = vA⎜ ⎟ + vW⎜ ⎟ ⎝ cos ( θ ) ⎠ ⎝ −sin ( φ ) ⎠ ⎝ vAg ⎠ ⎛θ⎞ ⎜ ⎟ = Find ( θ , vAg ) ⎝ vAg ⎠ θ = 5.39 deg vAg = 96.1 mi hr Problem 12–205 At the instant shown car A is traveling with a velocity vA and has an acceleration aA along the highway. At the same instant B is traveling on the trumpet interchange curve with a speed vB which is decreasing at v'B. Determine the relative velocity and relative acceleration of B with respect to A at this instant. 141 ...
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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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