But if you pull it so the mass comes here, you move it from x = 0 to a new location x then, there is a restoring force F, which is - kx, and that force will be equal to mass times acceleration by Newton’s law, and so you’re trying to solve the equation d 2x/dt 2 = -k/m times x, and we use the symbol, ω 2 = k/m, or ω square root of k/ m. This spring has a certain natural length, which I’m showing you here.
The standard textbook example is this mass on spring. Professor Ramamurti Shankar: Stable equilibrium, and if you disturb them, they rock back and forth and there are two simple examples. Example Equations of Oscillating Objects Fundamentals of Physics I PHYS 200 - Lecture 17 - Simple Harmonic MotionĬhapter 1.
