Standing Waves
PHYS 210 · Module 5
This module studies waves trapped by boundaries. Students learn how standing waves form on strings and in pipes, how normal modes and harmonics arise, and why boundary conditions determine allowed frequencies.
Lessons in this module
Standing waves on a string
Standing waves form when waves traveling in opposite directions interfere. This lesson derives standing waves on a string fixed at both ends.
Normal modes and harmonics
Normal modes are independent patterns of vibration with specific frequencies. This lesson explains mode shapes, harmonics, superposition of modes, and physical examples.
Standing waves in pipes
Air columns support standing sound waves determined by open or closed ends. This lesson explains displacement nodes, pressure nodes, and allowed pipe frequencies.
Boundary conditions
Boundary conditions determine which wave patterns are allowed. This lesson explains fixed, free, open, closed, and continuity conditions across wave systems.
Ask your AI physics guide
Ask anything about Waves and Oscillations — Standing Waves, or choose a suggested question below.
AI responses are educational and may not be perfectly accurate. Press Enter to send, Shift+Enter for new line.