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A particle moves in a plane according to X = R sin ωt + ωRt Y = R cos ωt + R, where wand R are constants. This curve, called a cycloid, is the path traced out by a point on the rim of a wheel that rolls without slipping along the x axis. (a) Sketch the path. (b) Calculate the instantaneous velocity and acceleration when the particle is-at its maximum and minimum value of y.
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