A rotating bar of length L and mass m is connected with a spring with stiffness...

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A rotating bar of length L and mass m is connected with a spring with stiffness k and a damper with damping constant c. (1) Draw free body diagram and derive the equation of motion using Newton's 2nd law. (2) Determine the undamped natural frequency of the system. (3) Calculate the damping ratio of the system. (4) Will the critical damping constant, damping ratio, natural period and the damped natural frequency be affected if the damper is moved closer to the spring? If yes, explain how they will be affected (show calculations if needed)? L -1/2- L www k A rotating bar of length L and mass m is connected with a spring with stiffness k and a damper with damping constant c. (1) Draw free body diagram and derive the equation of motion using Newton's 2nd law. (2) Determine the undamped natural frequency of the system. (3) Calculate the damping ratio of the system. (4) Will the critical damping constant, damping ratio, natural period and the damped natural frequency be affected if the damper is moved closer to the spring? If yes, explain how they will be affected (show calculations if needed)? L -1/2- L www k