A particle starts at rest on a smooth inclined plane whose angle 0 is changing at a

Chapter 2, Problem 16

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A particle starts at rest on a smooth inclined plane whose angle 0 is changing at a constant rate d$ co < 0. clt At the end oft seconds, the position ofthe object is given by 8 x(t) = - 2ft)2 sin cot Suppose the particle has moved 1.7 ft in I second. Find, to within 10 5 , the rate co at which 6 changes. Assume that g = 32.17 ft/s2 .

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