R2-38. The rod is bent into the shape of a sine curve and

Chapter 21, Problem R2-38

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R2-38. The rod is bent into the shape of a sine curve and is forced to rotate about the y axis by connecting the spindle S to a motor. If the rod starts from rest in the position shown and a motor drives it for a short time with an angular acceleration a = (1.5ef) rad/s2, where t is in seconds, determine the magnitudes of the angular velocity and angular displacement of the rod when / = 3 s. Locate the point on the rod which has the greatest velocity and acceleration, and compute the magnitudes of the velocity and acceleration of this point when t = 3 s. The curve defining the rod is = 0.25 sin(7ry), where the argument for the sine is given in radians when y is in meters.