In: Physics
A mass is connected by means of a spring to an inelastic support. The static deflection due to the weight of the mass is 60 mm. The support is oscillated with simple harmonic motion at 3Hz and amplitude 10.0mm. Determine the amplitude of vibration of the mass and phase angle if the damping is negligible.
The mass is now damped in an oil bath which exerts a resistance proportional to velocity, and the spring anchorage is oscillated as before. It is observed that the amplitude of vibration of the mass is now one-half of its previous value. Find the damping ratio, and the phase between the motions of the mass and support.