Find the natural circular frequency of the oscillations

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Figure (a) shows a homogeneous semicylinder that rocks back and forth with out slipping on the horizontal plane. The angular position of the semicylinder is defined by the angle θ. Determine the natural circular frequency of the oscillations for small amplitudes, assuming the motion to be simple harmonic. The mass center G is located at the distance 4R/3π = 0.4244R from point O.

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Reference no: EM131285537

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