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611_Dynamics 11ed Manual

611_Dynamics 11ed Manual - the pulley Given W P 50 lb = r 1...

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Engineering Mechanics - Dynamics Chapter 18 k G 1.75 ft = r i 0.8 ft = P 15 lb = r o 2.4 ft = g 32.2 ft s 2 = Solution: Guess ω 1 rad s = Given P r o r i + r o d 1 2 W g k G 2 2 1 2 W g r o () 2 + = Find () = 1.324 rad s = Problem 18-27 The double pulley consists of two parts that are attached to one another. It has a weight W p and a centroidal radius of gyration k O and is turning with an angular velocity clockwise. Determine the kinetic energy of the system. Assume that neither cable slips on
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Unformatted text preview: the pulley. Given: W P 50 lb = r 1 0.5 ft = W A 20 lb = r 2 1 ft = W B 30 lb = k O 0.6 ft = 20 rad s = Solution: K E 1 2 I 2 1 2 W A v A 2 + 1 2 W B v B 2 + = K E 1 2 W P g ⎛ ⎝ ⎞ ⎠ k O 2 2 1 2 W A g ⎛ ⎝ ⎞ ⎠ r 2 ( ) 2 + 1 2 W B g ⎛ ⎝ ⎞ ⎠ r 1 ( ) 2 + = K E 283ft lb ⋅ = 609...
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