a-second-harmonic-is-generated-in-an-elastic-cord-of-length-l-stretched-between-

Question

A second harmonic is generated in an elastic cord of length l stretched between two clamps. The vertical displacement (y) of a cord element as a function of the horizontal position x and time t is given by the equation yx,t=2Asin 2πλxsinωt","truncated":false}" title="y open parentheses x comma t close parentheses equals 2 A sin space open parentheses fraction numerator 2 straight pi over denominator lambda end fraction x close parentheses sin open parentheses omega t close parentheses" src="https://lightcat-files.s3.amazonaws.com/problem_images/4061b616cbbe6f33-1666858184962.jpg" width="205" height="44" class="fr-fic fr-dii"> . Make a sketch of the standing-wave pattern.

Accepted Answer

figure c

Diagram of a standing wave with two wavelengths, showing nodes and antinodes with amplitude 2A.

Answer

figure a

Diagram of a standing wave showing nodes and antinodes with amplitude 2A.

Answer

figure b

Diagram of a standing wave showing nodes and antinodes with amplitude A.

Answer

figure d

Diagram of a standing wave with two wavelengths, showing nodes and antinodes with amplitude A.

A second harmonic is generated in an elastic cord of length l stretched between two clamps. The vertical displacement (y) of a cord element as a function of the horizontal position x and time t is given by the equation . Make a sketch of the standing-wave pattern.