Consider a disk, having mass and radius , that spins rapidly about an axle at its center, spinning with an angular velocity . The disk's axle is connected by a thin, massless rod of length to a central pivot. The end of the massless rod is fixed in place at that pivot, but it can freely rotate in all directions. 1) If the disk's mass and radius were each doubled, while keeping the other quantities (, , and ) fixed, by what factor would the rate of precession change

Review multiple-concept example 7 in this chapter as an aid in solving this problem. in a fast-pitch softball game the pitcher is impressive to watch, as she delivers a pitch by rapidly whirling her arm around so that the ball in her hand moves in a circle. in one instance, the radius of the circle is 0.626 m. at one point on this circle, the ball has an angular acceleration of 66.1 rad/s2 and an angular speed of 12.6 rad/s. (a) find the magnitude of the total acceleration (centripetal plus tangential) of the ball. (b) determine the angle of the total acceleration relative to the radial direction.