A simple pendulum with a mass oscillates with a frequency . The oscillation is damped by the coefficient , and the initial amplitude of the oscillation is .
Express the relationship between oscillation energy and time with only the given data.
What happens to the energy of the oscillation if we double the frequency?
In what way and by what percentage does the energy change if the frequency is five times the initial, the amplitude is one-third the initial, and the mass of the pendulum is one-fourth the initial?