Horse Crankshaft Motion

Horse Crankshaft

The next approximation we consider is related to the circular path of the crankshaft and the resulting circular path of the horse motion. Consider the crank of .5417 feet in the figure above and determine what value "k" should equal to make the following vector valued function a more accurate representation of the horse motion.

r(t)= (21.25 cos(t)+0.5417k cos(4.25*t)) i + (21.25 sin(t)+0.5417k sin(4.25*t)) j + .5417 sin (4.25*t) k

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William V. Thayer, PedLog