1. Damping And Resonance

2. Damping In any real oscillating system, the amplitude of the oscillations decreases in time until eventually stopping altogether Effect is called damping Generally due to air resistance or internal friction Energy dissipated to thermal energy over time

4. Effects of Damping Damping does alter the frequency slightly, but not enough to matter in SHM equations

5. Resonance Every vibrating system has its own natural frequency If you try to vibrate the system at other than its natural frequency, it will bounce around but never reach any great amplitude For example, if you push on a swing at random frequency

6. If you push on the object at the same frequency as its natural frequency, the amplitude will increase dramatically This effect is called resonance The natural vibrating frequency of an object is its resonant frequency

8. Breaking Glass Music note played at same frequency as the natural vibrating frequency of a crystal glass will cause a forced vibration of the crystal If resulting vibration is great enough in amplitude that it exceeds the glass’s elastic limit, the glass shatters