Q.1 Determine the amplitude of the steady state motion of the mass shown below if o = 200 rad/s. k = 100 kN/m = 500 N s/m m = 10 kg F = 1000 cos wt N

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Q: Q2: Fig.(2), represents a simplified diagram of a spring-supported vehicle traveling over a rough…

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Q: Consider the mechanical system shown below with a dash-pot (the dash-pot produces a friction force…

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Q: 1. For the system shown, the spring constant k = 400 kN/m, damping coefficient zeta = 0.5 and the…

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Q: A simple seismometer used to measure ground motion is shown in the figure below. If the mass m = 300…

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Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.