The rod is bent into the shape of a sine curve and is forced to rotate about the y axis by...

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  = (1.5et) rad/s2, where t is in seconds, determine the magnitudes of the angular velocity and angular displacement of the rod when t = 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 z = 0.25 sin(y), where the argument for the sine is given in radians when y is in meters.