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Unformatted text preview: Name: Section: Practice Test 3 for Test 2 Assignment Due:Wednesday 2-27-2008 Practice Test Problem 3.1 [7 pt(s) ] In Activity 11, we analyzed the motion of an Atwoods machine, idealized in figure (1). We varied the ratio of the masses, calculated the accelera- tions, and produced a graph of a versus a function of the masses, so that our graph had a theoretical slope of g . In other words, we graphed a line given by a = g ( f ( m 1 , m 2 ) ) where f ( m 1 , m 2 ) was a quantity we could calculate given m 1 and m 2 . Suppose we modify the machine as shown in figure (2), where mass 1 lies on a horizontal surface, connected by a string over a pulley to mass 2 (all of the usual assumptions apply; the string is massless and unstretchable, the pulley is massless and frictionless, the surface is frictionless). Derive the function f ( m 1 , m 2 ) for this scenario. In other words, what quantity would we need to plot on the x-axis, versus a on the y-axis, so that the slope of our line would be...
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