Questions
Question 1
A ball performs vertical oscillations with displacement about the equilibrium position . The displacement–time graph from to shows damped oscillations.

The steady-state amplitude of a driven oscillator is measured as the driving frequency is varied. The amplitude–frequency graph has a clear peak near .

State what is meant by the period and the amplitude of an oscillation.
Determine the period of the motion using the graph. Show how the value is obtained from the graph.
Using the graph, estimate the resonant (natural) frequency and the full width at half maximum . Hence calculate the quality factor .
The amplitude on the displacement–time graph decreases with time. Explain this decrease in terms of forces and energy.