技術者教育のための工学数理の力学教材の改定(19): 変形Atwood 機械の運動解析

概要

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Atwood's machine is a representative device in mechanics, which George Atwood invented in 1784 as a laboratoryexperiment to verify the mechanical laws of uniformly accelerated motion. We revisited this mechanical device tomake PBL (Problem Based Learning) resources and practice problems for computational dynamics in the advanced engineeringcourse. In the book by Nayfeh & Mook (1995), introduced is Atwood's machine in which a body of mass m1 islinked to two bodies of massm2 with ropes through two pulleys. Ifm2/m1 < 1/2, it works as usual Atwood's machine. Ifm2/m1 > 1/2, however, it works as an oscillation machine around its equilibrium state. We call this "Modified Atwood'sMachine" and make numerical computations to reveal its typical features from equations of motion. It is found that thedisplacement of mass m1 may move asymmetrically around its equilibrium point.
2011-01-31