# Question: a mass on the end of a spring with natural...

###### Question details

A mass on the end of a spring (with natural frequency _{0}) is
released from rest at position

x_{0}. The experiment is repeated, but now with the system
immersed in a fluid that causes the

motion to be overdamped (with damping coefficient ). Find the
ratio of the maximum speed in the former case to that in the
latter. What is the ratio in the limit of

very strong damping such that >>
_{0}?
What is the ratio in the limit of critical damping?