Answer:
Step-by-step explanation:
When Bdamp = 0.1, the oscillator is underdamped. That means that the damping force is not strong enough to stop the oscillations of the system, but it does cause the amplitude of the oscillations to decrease over time.
As the amplitude of the oscillations decreases, the total energy of the system also decreases. This is because the energy dissipated by the damping force is converted from the kinetic and potential energy of the oscillator into thermal energy, which is then dissipated into the surrounding environment. The rate of energy dissipation is proportional to the velocity of the oscillator, so the damping force is strongest when the oscillator is at its maximum amplitude and moving the fastest.
The relationship between kinetic and potential energy of the oscillator and the energy dissipated by damping can be seen mathematically in the equation:
E = 1/2 * K * A^2 + 1/2 * M * V^2
where E is the total energy of the system, K is the spring constant, A is the amplitude of the oscillator, M is the mass of the oscillator, and V is the velocity of the oscillator.
As the amplitude of the oscillator decreases due to damping, the potential energy term 1/2 * K * A^2 also decreases, while the kinetic energy term 1/2 * M * V^2 remains constant. The energy dissipated by damping is proportional to the velocity of the oscillator, which means that the damping force acts to decrease the kinetic energy of the oscillator over time.
Therefore, the energy dissipated by damping is converted from both the kinetic and potential energy of the oscillator into thermal energy, which causes the total energy of the system to decrease over time as the amplitude of the oscillations decreases.