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3. A fixed-fixed string with wave speed v is initially displaced a distance h for 0 0. Explain physically why half of the modes are not present. Does the motion repeat in this case? y(x,0)

3. A fixed-fixed string with wave speed v is initially displaced a distance h for 0 0. Explain physically why half of the modes are not present. Does the motion repeat in this case? y(x,0)

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3. A fixed-fixed string with wave speed v is initially displaced a distance h for 0 < x < l, where h << l, and is released from rest at t = 0. (A large slope is initially at x = 0 and l; assume it is infinite.) Impose the initial and boundary conditions on the general solution, and uniquely determine y(x,t) for t> 0. Explain physically why half of the modes are not present. Does the motion repeat in this case? y(x,0) h X
Transcribed Image Text:3. A fixed-fixed string with wave speed v is initially displaced a distance h for 0 < x < l, where h << l, and is released from rest at t = 0. (A large slope is initially at x = 0 and l; assume it is infinite.) Impose the initial and boundary conditions on the general solution, and uniquely determine y(x,t) for t> 0. Explain physically why half of the modes are not present. Does the motion repeat in this case? y(x,0) h X
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