659_Dynamics 11ed Manual

659_Dynamics 11ed Manual - Given: W r 5 lb = W p 0.2 lb = v...

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Engineering Mechanics - Dynamics Chapter 19 Given W g v 1 r W g v 2 r W A g r 2 2 ω 2 + = v 2 2 r = v 2 2 Find v 2 2 , () = v 2 5.67 ft s = 2 11.3 rad s = Problem 19-43 A thin disk of mass m has an angular velocity 1 while rotating on a smooth surface. Determine its new angular velocity just after the hook at its edge strikes the peg P and the disk starts to rotate about P without rebounding. Solution: H 1 H 2 = 1 2 mr 2 1 1 2 mr 2 mr 2 + 2 = 2 1 3 1 = *Problem 19-44 The pendulum consists of a slender rod AB of weight W r and a wooden block of weight W b . A projectile of weight W p is fired into the center of the block with velocity v . If the pendulum is initially at rest, and the projectile embeds itself into the block, determine the angular velocity of the pendulum just after the impact.
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Unformatted text preview: Given: W r 5 lb = W p 0.2 lb = v 1000 ft s = g 32.2 ft s 2 = W b 10 lb = a 2 ft = b 1 ft = Solution: W p g ⎛ ⎝ ⎞ ⎠ v a b 2 + ⎛ ⎝ ⎞ ⎠ W r g ⎛ ⎝ ⎞ ⎠ a 2 3 ⎛ ⎜ ⎝ ⎞ ⎟ ⎠ W b g ⎛ ⎝ ⎞ ⎠ b 2 6 ⎛ ⎜ ⎝ ⎞ ⎟ ⎠ + W b g ⎛ ⎝ ⎞ ⎠ a b 2 + ⎛ ⎝ ⎞ ⎠ 2 + W p g ⎛ ⎝ ⎞ ⎠ a b 2 + ⎛ ⎝ ⎞ ⎠ 2 + ⎡ ⎢ ⎣ ⎤ ⎥ ⎦ 2 = 2 W p v a b 2 + ⎛ ⎝ ⎞ ⎠ W r a 2 3 W b b 2 6 + W b a b 2 + ⎛ ⎝ ⎞ ⎠ 2 + W p a b 2 + ⎛ ⎝ ⎞ ⎠ 2 + = 2 6.94 rad s = 657...
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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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