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The critically damped single degree of freedom system shown in the figure has a natural frequency 31.42 rad/s. Here the mass and pulley are

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The critically damped single degree of freedom system shown in the figure has a natural frequency 31.42 rad/s. Here the mass and pulley are connected by a solid cable. Find the stiffness 'k' and damping coefficient 'c' if the system has the following data: m = 4 kg, Jp = 3 kgm,r = 0.15 m and r = 0.3 m. Pulley, Jp k m r C x(t) C

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