A system is made up of a pulley of radius a with no friction and mass , as well as a massless string of length L that is tied to some point masses m1 hanging on the left and some point masses m2 hanging on the right. Determine the system's acceleration by expressing it with a single degree of freedom.
A system is made up of a pulley of radius a with no friction and mass , as well as a massless string of length L that is tied to some point masses m1 hanging on the left and some point masses m2 hanging on the right. Determine the system's acceleration by expressing it with a single degree of freedom.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A system is made up of a pulley of radius a with no friction and mass , as well as a massless string of length L that is tied to some point masses m1 hanging on the left and some point masses m2 hanging on the right. Determine the system's acceleration by expressing it with a single degree of freedom.
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Step 1
Since mass m1 and m2 is fixed by a string, so if we know the postion of one mass then position of other mass being determined by the constraint that the length of the rope between them is L. Hence the system is dedcribe by only one degree of freedom i.e. x. As shown in figure
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