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2. A4 kg mass is suspended from a spring of stiffness 3x10' N/m. When given an initial displacement of 3 mm, the energy lost by the spring during the first cycle of motion is measured as 0.007). (a) What is the hysteretic damping coefficient of the system? (b) What is the equivalent viscous damping ratio? (c) After how many cycles will the amplitude be less than 1 mm? (d) Determine x(O), the time dependent displacement of the mass.