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**An oscillator with natural frequency ω consists of a mass on a spring positioned on a horizontal table. The table is frictionless for x<0 but has friction for x>0 and an effective damping constant K on that side of the table. Find the frequency of this oscillator and the ratio of successive amplitudes. Assume K<ω (Under-damping).**

**Relevant equations**

x=C*cos(ωt) [Eqn of motion w/o damping] when x<0

x=Ce

^{-Kt}cos(ω

_{d}t) [Under-damping eqn of motion] when x>0

Well it seems there will be two parts of the problem for each side of the table, which means it will probably be one quantity plus another. Any help getting started on this problem would be greatly appreciated. Thank you in advance.