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and the top
The type of precession we all have experience with is angular momentum precession. This is exemplified by the top or by the bicycle wheel.
Suppose we hang a bicycle wheel by a string from its axle. If we tie the string at a short distance {$\mbox{\it\bf d}$} from the wheel centre, the force of gravity {$ M\mbox{\it\bf g}$} will apply a torque to the wheel,
{$ (1) \qquad\qquad \tau = \mathbf{ d}\times M\mathbf{ g} $}
Therefore the wheel will not stand upright, it will flop over and fall.
If we instead spin the wheel, it will acquire an angular momentum {$ \mathbf{ L}$} about its axis and Newton's law of motion impose that the torque determines the rate of change of {$ \mathbf{ L}$}. The consequence is that the wheel does not flop over any more, instead it precesses about the direction of {$\mathbf{ g}$}.
The frequency of this precessional motion is called Larmor frequency.
The sketch on the left is that of a top which spins about its axis and precesses about the vertical direction, although not at right angles with it.
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The very same thing happens if we place an elementary magnetic moment {$ \mbox{\it\bf m}$} (a suitable elementary particle) in a uniform magnetic field {$\mbox{\it\bf B} $}. This is because the torque has a similar geometric appearence to that of Eq. (1)
{$ (2) \qquad\qquad \tau = \mathbf{ m}\times \mathbf{ B} $}
and also because an elementary magnetic moment {$ \mathbf{ m}$} is due to an Amperian current, i.e. an elementary charge orbiting in an atomic loop, or spinning, in some more intrinsic sense. In summary there is an angular momentum {$ \mathbf{ L}=\hbar \mathbf{ I}$} such that:
{$ (3) \qquad\qquad \mathbf{ m} = \gamma \hbar \mathbf{ I} = \gamma \mathbf{ L} $}
where {$\gamma$} is the magnetogyric ratio of the moment and {$ \mathbf{ I} $} is, for instance, a (quantum) spin vector (we have specialized already on spin, the intrinsic angular momentum of certain nuclei).
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