A uniform rod of mass M and length L is free to swing back and forth by pivoting a distance x from its center. It undergoes harmonic oscillations by swinging back and forth under the influence of gravity. Randomized Variables M = 2.4 kg L = 1.6 m x = 0.38 m a) In terms of M, L, and x, what is the rod’s moment of inertia I about the pivot point.  b) Calculate the rod’s period T in seconds for small oscillations about its pivot point.  c) In terms of L, find an expression for the distance xm for which the period is a minimum.

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