A machine is represented as a single degree of freedom spring-mass-damper system. The machine has a total mass of (100 + 21) kg, an out-of-balance mass 0.125 kg, eccentricity of 0.01 m, coefficient of damping (100 + 21) N/ (m/sec), and spring stiffness (1000 + 21) N/m. The rotational speed of the machine is 3000 rpm. Determine the maximum amplitude of vibration due to out-of-balance. Suggest a method for the control of vibration caused due to out-of-balance.

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A machine is represented as a single degree of freedom spring-mass-damper system. The machine has a total mass of (100 + 21) kg, an out-of-balance mass 0.125 kg, eccentricity of 0.01 m, coefficient of damping (100 + 21) N/ (m/sec), and spring stiffness (1000 + 21) N/m. The rotational speed of the machine is 3000 rpm. Determine the maximum amplitude of vibration due to out-of-balance. Suggest a method for the control of vibration caused due to out-of-balance.
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