when-a-225-meter-long-horizontal-string-vibrates-at-200-hz-it-forms-a-standing-w

Question

When a 2.25-meter-long horizontal string vibrates at 200 Hz, it forms a standing wave exhibiting five loops. Swinging from top to bottom, a maximum displacement of 12 cm is achieved at the center of each loop. Determine the function representing this standing wave.

Accepted Answer

D(x,t) = (0.06 m)sin[(7m^-1)x] cos[(1257 rad/s)t]

Answer

D(x,t) = (0.05 m)sin[(5m^-1)x] cos[(628rad/s)t]

Answer

D(x,t) = (0.05 m)sin[(5m^-1)x] cos[(1000 rad/s)t]

Answer

D(x,t) = (0.06 m)sin[(6m^-1)x] cos[(10000 rad/s)t]

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When a 2.25-meter-long horizontal string vibrates at 200 Hz, it forms a standing wave exhibiting five loops. Swinging from top to bottom, a maximum displacement of 12 cm is achieved at the center of each loop. Determine the function representing this standing wave.