Week 5 Coupled Oscillators Flashcards
1
Q
what happens if motion for coupled oscillators to n masses is constrained to 1D
A
expect to find n normal modes from n coupled equations
2
Q
what are the two governing equations for two identical masses 1&2 connected by spring of spring const k’
A
ma1 = -kx1 + k'(x2-x1) ma2 = -kx2 - k'(x2-x1)
3
Q
when are transverse oscillations possible
A
excite the system in the transverse direction
4
Q
what is the equation that governs transverse displacement
A
ma = -2Tsinθ
5
Q
how is coupled oscillator resonances useful
A
it is used to determine the composition of something via molecular spectroscopy where each individual bond has a different radiation frequency transmitted
