Derive the differential equation of motion

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The uniform slender bar of mass m is initially in static equilibrium in the position shown. The bar is then rotated slightly and released.

(a) Derive the differential equation of motion in terms of the angular displacement θ of the bar.

(b) If m = 6 kg and k = 3 kN/m, determine the damping coefficient c that will critically damp the vibration

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Reference no: EM131285445

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