Question: A mass (m) is attached to an elastic cord (model as a spring with spring constant k) and placed on a ramp that makes

A mass (m) is attached to an elastic cord (model as a

A mass (m) is attached to an elastic cord (model as a spring with spring constant k) and placed on a ramp that makes an angle 0 with the ground. The equilibrium length of the cord is lo when there is the mass (m) attached. Assume the ramp is frictionless but that there is linear air drag. Assume that the system is overdamped. The mass starts from the equilibrium position (i.e. the length of the cord starts at lo) and has an initial velocity of vo. What is the position of the mass as a function of time? If you wait a very long time, what will the final position of the mass be?

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