660_Dynamics 11ed Manual

660_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Engineering Mechanics - Dynamics Chapter 19 Problem 19-45 The pendulum consists of a slender rod AB of mass M 1 and a disk of mass M 2 . It is released from rest without rotating. When it falls a distance d , the end A strikes the hook S , which provides a permanent connection. Determine the angular velocity of the pendulum after it has rotated 90°. Treat the pendulum’s weight during impact as a nonimpulsive force. Given: M 1 2kg = r 0.2m = M 2 5kg = l 0.5m = d 0.3m = Solution: v 1 2 gd = I A M 1 l 2 3 M 2 r 2 2 + M 2 lr + () 2 + = Guesses ω 2 1 rad s = 3 1 rad s = Given M 1 v 1 l 2 M 2 v 1 + + I A 2 = 1 2 I A 2 2 1 2 I A 3 2 M 1 g l 2 M 2 gl r + = 2 3 Find 2 3 , = 2 3.57 rad s = 3 6.46 rad s = Problem 19-46
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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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