Final answer:
An undamped spring-mass system refers to a system where there is no external damping force acting on the system. The equation of motion for an undamped spring-mass system is x(t) = A * cos(ωt), where x(t) is the displacement from equilibrium, A is the amplitude of the oscillation, ω is the angular frequency of the system, and t is time.
Step-by-step explanation:
An undamped spring-mass system refers to a system where there is no external damping force acting on the system, resulting in the oscillations continuing indefinitely. The equation of motion for an undamped spring-mass system is given by x(t) = A * cos(ωt), where x(t) is the displacement from equilibrium, A is the amplitude of the oscillation, ω is the angular frequency of the system, and t is time.
For example, if a mass-spring system is undamped and has an amplitude of 0.1 meters and an angular frequency of 2π rad/s, the equation of motion would be x(t) = 0.1 * cos(2πt).
Keywords: undamped spring-mass system, equation of motion, displacement, equilibrium, amplitude, angular frequency