Drums and PhysicsClassical Mechanics Level 3
Notes and Assumptions:
Do consider that the downward motions have positive values. Take the initial position (\(S = 0\), the origin) to be the snare's skin in its original position. Consider that, when the stick hits the skin, it completely "stops", but continues going down by Inertia (touching the skin), but do consider its speed is 0.
There is no loss of energy, with one exception: energy convertion into sound energy, what makes the stick stop on the \(j\) bounce. Every bounce has a maximum height when the stick goes up. Use the origin as reference to calculate the heights.
The snare's skin completely stops when it reaches its original position. The skin doesn't go upwards, just downwards and then it instantly stops.