A mass of 85 kg is supported on a spring which deflects 18 mm under the weight of the mass. The vibrations of the mass are constrained to be linear and vertical. A dashpot is provided which reduces the amplitude to one-quarter of its initial value in two complete oscillations. Calculate magnitude of the damping force at unit velocity and periodic time of damped vibration.
Solution:
Fig-1
Given data:
mass m=85 kg
Static deflection, x=18mm=0.018m
Let, x0= initial amplitude x2= final amplitude after two complete cycle =41
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