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In: Physics

A mass of 25 kg is restrained by two springs in series, each having a stiffness...

A mass of 25 kg is restrained by two springs in series, each having a stiffness of 20 kN/m. The system is subjected to viscous damping, the coefficient of damping having a value of 250 Ns/m. Determine:

  1. Frequency of vibrations if damping is removed
  2. Frequency of damped vibrations.

Given that the mass is subjected to a velocity 0.1 m/s when initially at rest in the un-deflected position, determine:

  1. The equation of motion of free response
  2. The period of oscillations.

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