Show that a vibrating mass-spring system performs simple harmonic motion. What is its time period? On what factors does it depend?
Consider a mass attached to a vertical spring with a force constant . When displaced from its equilibrium position, the restoring force acts in the opposite direction, according to Hooke’s Law: F= -kx Applying Newton’s second law, ma= -kx a= -kx/m Since acceleration is proportional to displacement and directed toward the equilibrium position, the motion … Read more