Spring Problems I focuses on undamped spring systems. That is, a spring system that lacks any forces counteracting the restorative force of the spring itself. This is a purely theoretical exercise as there are usually energy loses due to heat, drag against a resistive medium like water or air, a dedicated dampening force, or other external forces.

Fig 1: https://thefactfactor.com/facts/pure_science/physics/the-vibration-of-vertical-spring/9249/

Fig 1 shows three key positions when discussing spring systems. L represents the unloaded spring length. “l” represents the spring elongation, sometimes using “s” for notation. When there is a mass on the spring and the spring system is at rest it is said to be at equilibrium. “y” represents an additional displacement beyond the equilibrium point, in this case either above or below.

Partner Group: Problem 1:

Partner Group: Problem 3:

Partner Group: Problem 4:

Partner Group: Problem 11:

Partner Group: Problem 13:

Partner Group: Problem 19:

Partner Group: Problem 21: