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  3. 5 a machine weighing 50 kg is mounted on a...

Question: 5 a machine weighing 50 kg is mounted on a...

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5. A machine weighing 50 kg is mounted on a supporting system consisting of four springs and four dampers. The vertical deflection of the supporting system under the weight of the machine is measured as 5 mm. Assuming that the initial conditions for free vibration are uo # 0 and Vo= 0, The dampers are designed to reduce the amplitude of vertical vibration to one-eighth of the initial amplitude after two complete cycles of free vibration. Find the following properties of the system: (a) undamped natural frequency, (b) damping factor, and (c) damped natural frequency. For the current value of damping ratio, comment whether the system is underdamped, critically damped or overdamped

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