A large ant is standing on the middle of a circus tightrope that is stretched with tension T_s. The rope has mass per unit length mu. Wanting to shake the ant off the rope, a tightrope walker moves her foot up and down near the end of the tightrope, generating a sinusoidal transverse wave of wavelength lambda and amplitude A. Assume that the magnitude of the acceleration due to gravity is g.(adsbygoogle = window.adsbygoogle || []).push({});

My answer of A= g lambda^2/(32T_s) is wrong, and my web based homework system tells me I am off by a multiplicative factor.

I got my answer by finding out how much distance it would take for a particle on the wire to go from y=0 to y=A (lambda/4), then finding the time it would take for the wave to travel that length (lambda/4 * sqrt(u/T_s)). I then plugged that into the kinematics equation y=y_o + v_ot+1/2at^2. This gave me A = 1/2at^2, and plugged in the variables I knew, giving me the answer above.

Please help. Thanks!

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# Homework Help: Ant on a tightrope

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