5- Coupled oscillators

What is the equation of motion for two coupled oscillators?

What is a symmetric mode(x₁=x₂)?

• Its where the oscillators move in the same direction (masses move together)

• They move with the same amplitude

• The system oscillates at the lower frequency.

What is an anti-symmetric mode(x₁=-x₂)?

• The oscillators move in opposite directions (masses have opposite motion)

• They move with the same amplitude ratio

• The system oscillates at the higher frequency.

.

.