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6. A restaurant kitchen door is hinged with a torsional spring k and torsional damper C. People enter the door with a push of

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6. A restaurant kitchen door is hinged with a torsional spring k and torsional damper C. People enter the door with a push of force F and moment arm L. The moment of inertia of the door is J. Determine the equation of motion for the system in terms of the rotation . ---------

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