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Q2 (14 pts) The piston-rod-crank mechanism is used in many engineering applications. In the mechanism shown in the following figure, the crank is rotating at

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Q2 (14 pts) The piston-rod-crank mechanism is used in many engineering applications. In the mechanism shown in the following figure, the crank is rotating at a constant speed of 500rm. Calculate and plot the position, velocity, and accelenation of the piston for one revolution of the crank. Make the three plots on the same page. Set=0 when t=0. Hint: see the description on next page. Your three plots should be in one page as below. Label each axis. We ned to know period (p), which which dtd is replaced by is obfained from Ey (s) because eq (3). any figure should be plotted tie seand deriuative of x in the interved of 0tp with respect to tiac gives dt2dx2=r(dtd)2cos4d234r2(dg)2cos2d22+(r2d/tsin2)2

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