A probe is used to detect small vibrations. The probe is attached to a spring with a force constant of 4.9 N/m. The other end of the spring is attached to a metal plate submerged in low viscosity oil. Assume the system is lightly damped.
a) Estimate the mass of the metal plate.
b) What is the approximate damping constant of the oil used?
c) Write an expression for the amplitude of this system as a function of time.
d) What fraction of the system energy is lost per cycle?
e) What is the acceleration experienced by the plate when t = 3 seconds? What is the velocity of the plate at that instant?