The equilibrium of a spring is defined as the state when the spring is in its natural uncompressed position, referred to as x=0. When a mass is applied to the spring, a new equilibrium point can be established, which simplifies the analysis of vertical oscillation problems. This new equilibrium allows the spring to oscillate at the same frequency as it would in a horizontal orientation, but around the new equilibrium position instead of the uncompressed state.
PREREQUISITESPhysics students, mechanical engineers, and anyone interested in understanding the dynamics of springs and oscillatory motion.