Finding the Differential Equation A mass of 500 gm is suspended from the ceiling by a frictionless spring. The mass stretches the spring 50 cm in coming to its equilibrium position, where the mass acting down is balanced exactly by the restoring force acting up. The object is then pulled down an additional 10 cm and released.
(a) Formulate the initial-value problem that describes the object's motion, setting x equal to the downward displacement from equilibrium.
(b) Solve for the motion of the object.
(c) Find the amplitude, phase angle, frequency, and period of the motion.
Mass-Spring
Watch the motion of the mass linked with the graphs of the position and velocity displayed in a time graph and a phase plane?