The instrument shown in figure, with a mass of 20 kg is attached to platform P...

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The instrument shown in figure, with a mass of 20 kg is attached to platform P that rests on four springs, each having a stiffness of 980 N/m. The floor is subjected to a vertical acceleration x(t) = 200 sin 8 t mm/s. 65 x(t) X(t) a) what is the frequency of the floor required to cause resonance? b) write the equation of motion of the platform c) determine the displacement of the floor xf(t) as a function of time d) determine the amplitude of the displacement of the platform relative to the floor. e) determine the maximum amplitude of the vibration of the instrument. The instrument shown in figure, with a mass of 20 kg is attached to platform P that rests on four springs, each having a stiffness of 980 N/m. The floor is subjected to a vertical acceleration x(t) = 200 sin 8 t mm/s. 65 x(t) X(t) a) what is the frequency of the floor required to cause resonance? b) write the equation of motion of the platform c) determine the displacement of the floor xf(t) as a function of time d) determine the amplitude of the displacement of the platform relative to the floor. e) determine the maximum amplitude of the vibration of the instrument.