Two identical uniform bars, each of mass m and length L, are welded together, and the assembly is pinned at O and supported by a spring and a damper as shown. The moment of inertia of the assembly is J0=5mL^2/12. Derive the equation of motion for small angle theta, and then find the natural frequency.

Two identical uniform bars, each of mass m and length L, are welded together, and the assembly is pinned at O and supported by a spring and a damper as shown. The moment of inertia of the assembly is J0=5mL^2/12. Derive the equation of motion for small angle theta, and then find the natural frequency.

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Two identical uniform bars, each of mass m and length L, are welded together, and the assembly is pinned at O and supported by a spring and a damper as shown. The moment of inertia of the assembly is J0=5mL^2/12. Derive the equation of motion for small angle theta, and then find the natural frequency.

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