mass-spring system

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

What will happen to the acceleration of a mass-spring system if its mass is doubled?

on doubling the mass, acceleration is halved provided that the force remains constant. if the Force is constant and you double the mass, the acceleration is a/2. Related Questions: Give an example of vibratory motion which is not simple harmonic motion. Give a reason for your selection. At the extreme position, velocity is zero but acceleration … Read more