An input f(t) = 15 sin cot N was applied to a certain mechanical system for various values of the frequency ω, and the amplitude ω of the steady-state output was recorded. The data are shown in the following table. Determine the transfer function X(s)/F(s).
ω(rad/s) |x| (mm)
0.1................................209
0.4..................................52
0.7..................................28
1....................................19
2......................................7
4......................................2
6......................................1