Question

A mass m = 2kg is attached to an ideal spring with k = 2000N/m. The other end
of the spring is attached to a fixed point. The whole system is placed in a
horizontal level. However there is a friction between the mass and the surface
with µk = 0.1. The spring is stretched by 30 cm from the equilibrium position. What would the amplitude of this motion be at the end of the n th cycle in terms of the given variables? Find the amplitude at the end of the 6th and 200th cycle.
What would the restriction be in your equation?
What would you change in your model to make it work?

Answer 1

NOTE: A harmonic oscillator never
stops; its amplitude decays exponentially under the influence of a resistive force.