As derived in the text, a simple pendulum is approximately described for small angles ? by the differential equation,
where m is the mass of the pendulum, L is the length of the massless rigid rod supporting the mass and ? is the angular deviation of the pendulum from vertical. If the mass is 2 kg and the rod length is 0.5 m, at what cyclic frequency will the pendulum oscillate?
The form of the homogeneous solution is
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