A proton (charge ) with mass has an intrisic angular momentum given by and a magnetic moment given by . When the proton is placed in a uniform magnetic field of strength so that makes an angle of with , the angular momentum precesses around . Find:
a) The angular frequency with which the angular momentum precesses. Indicate the direction of precession on the figure above (into or out of page, as drawn).
b) For extra credit, indicate how one might change the angle
with a time-dependent magnetic field.