(Solution) - Consider a pendulum made of a massless rod of length and -(2025 Original AI-Free Solution)

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Consider a pendulum made of a massless rod of length ? and a point mass m. Assume conditions have been set up so that the mass moves in a horizontal circle. Let ? be the constant angle the rod makes with the vertical. Find the frequency, ?, of this circular motion in three different ways.
(a) Use F = ma. (The net force accounts for the centripetal acceleration.)22
(b) Use ? = dL/dt with the pendulum pivot as the origin.
(c) Use ? = dL/dt with the mass as the origin.