Please explain with a verydetailed andthorough response. Thank you!
You are testing a tightly damped harmonic oscillator for use in a seismograph. Each seismograph needle is attached to such an oscillator, each of which is tuned to a different resonant frequency. This particular needle-spring system is composed of a 1g mass attached to a spring with a constant of 98.7 N/m. The mass is immersed in oil, which provides a velocity dependent damping force. What is the resonant frequency of this needle? The mass is displaced 10mm and released from rest. You observe that the system completes 4200 oscillations before the amplitude has decreased to 5mm. What is the damping constant b that describes the Oil? The seismograph is assembled and an earthquake provides a periodic 40Hz disturbance that causes the needle to move. If the maximum amplitude of oscillation is 1.65cm, what is the magnitude of the force produced by the earthquake?