(Tilted pendulum) Consider a rod of length L with a point mass m at its end, where the mass of the rod is negligible compared to m. The rod is welded at a right angle to another, which rotates without friction about an axis that is tilted by an angle of α with respect to the vertical (see figure). Let θ denote
the angle of rotation of the pendulum, with respect to its equilibrium position (where m is at its lowest possible point, namely, in the plane of the paper).
What is the frequency of small amplitude oscillations, in rad/sec? In cycles/sec?
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