Investigate the motion of the symmetric top discussed in Section 11.11 for the case in which the axis of rotation is vertical (i.e., the x3- and x3 axes coincide). Show that the motion is either stable or unstable depending on whether the quantity 4l1Mhg/l2/3w2/3 is less than or greater than unity, Sketch the effective potential V(θ) for the two cases, and point out the features of these curves that determine whether the motion is table. If the top is set spinning in the stable configuration, what is the effect as friction gradually reduces the value of w3? (This is the case of the “sleeping top”).