Vibes And Waves

Question 1

Critical damping

Answer 1

γ =ω_0 gives fastest return to equilibrium, without oscillating

Question 2

Normal modes

Answer 2

Amplitudes do not change with time

Question 3

Symmetric mode

Answer 3

x1 = x2 masses move together -> lower frequency

Question 4

Anti-symmetric mode

Answer 4

x1 = -x2 masses have opposite motion -> higher frequency

Question 5

Harmonic waves

Answer 5

Sinusoidally periodic in space and time

Question 6

Superposition of waves

Answer 6

Any solution of the wave equation can be scaled and added to any other solution of the wave equation, and it will also be a solution of the wave equation.

Question 7

Nodes

Answer 7

0 amplitude, fixed in space

Question 8

Antinodes

Answer 8

Maximum amplitude, fixed in space

Question 9

Phase velocity

Answer 9

Speed of carrier (actual) waves

Question 10

Group velocity

Answer 10

Speed of enevelope

Question 11

Non-Dispersive waves

Answer 11

Phase velocity is the same at all frequencies and the group velocity is the same as the phase velocity

Question 12

Dispersive waves

Answer 12

If C is not constant and the phase velocity and group velocity are not equal to each other