363_Dynamics 11ed Manual

# 363_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 15 ⎛ vA2 ⎟ ⎞ ⎜ ⎜ vB2 ⎟ ⎜ ⎟ = Find ( vA2 , vB2 , θ A , θ B) ⎜ θA ⎟ ⎜ θB ⎟ ⎝ ⎠ ⎛ θ A ⎞ ⎛ 0.00 ⎞ ⎜ ⎟=⎜ ⎟ deg ⎝ θ B ⎠ ⎝ 32.88 ⎠ ⎛ vA2 ⎞ ⎛ 1.35 ⎞ m ⎜ ⎟=⎜ ⎟ ⎝ vB2 ⎠ ⎝ 5.89 ⎠ s Problem 15-86 Two smooth disks A and B each have mass M. If both disks are moving with the velocities shown when they collide, determine the coefficient of restitution between the disks if after collision B travels along a line angle θ counterclockwise from the y axis. Given: M = 0.5 kg c=4 vA1 = 6 θ B = 30 deg d=3 vB1 = 4 vB2 = 1 m m s m s Solution: Guesses vA2 = 2 m s s Given vA1 0 = vA2 sin ( θ A) θ A = 10 deg e = 0.5 vB1 ⎛ c ⎞ ⎜ 2 2 ⎟ = vB2 cos ( θ B) ⎝ c +d ⎠ M vB1 ⎛ d ⎞ ⎜ 2 2 ⎟ − M vA1 = M vA2 cos ( θ A) − M vB2 sin ( θ B) ⎝ c +d ⎠ e⎡vA1 + vB1 ⎛ ⎢ ⎜ ⎣ ⎞⎤ = v cos ( θ ) + v sin ( θ ) A2 A B2 B 2 2 ⎟⎥ c + d ⎠⎦ ⎝ d ⎛ vA2 ⎞ ⎜ ⎟ ⎜ vB2 ⎟ = Find ( v , v , θ , e) A2 B2 A ⎜ θA ⎟ ⎜ ⎟ ⎝e⎠ ⎛ vA2 ⎞ ⎛ −1.75 ⎞ m ⎜ ⎟=⎜ ⎟ ⎝ vB2 ⎠ ⎝ 3.70 ⎠ s e = 0.0113 Problem 15-87 Two smooth disks A and B have the initial velocities shown just before they collide at O. If they have masses mA and mB, determine their speeds just after impact. The coefficient of restitution is e. 361 ...
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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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