is stretched with tension Ts. The rope has mass per length μ. Wanting to shake the ant off the rope, a trope walker moves her foot up and down near the end he tightrope, generating a sinusoidal transverse wave of elength A and amplitude A. Assume that the What is the minimum wa underneath it? Assume t Express the minimum

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Chapter1: Units, Trigonometry. And Vectors
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A large ant is standing on the middle of a circus tightrope
that is stretched with tension Ts. The rope has mass per
unit length μ. 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 X and amplitude A. Assume that the
magnitude of the free-fall acceleration is g.
What is the minimum wave amplitude Amin such that the ant will become momentarily "weightless" at some point as the wave passes
underneath it? Assume that the mass of the ant is too small to have any effect on the wave propagation.
Express the minimum wave amplitude in terms of Ts, μ, λ, and g.
► View Available Hint(s)
Transcribed Image Text:A large ant is standing on the middle of a circus tightrope that is stretched with tension Ts. The rope has mass per unit length μ. 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 X and amplitude A. Assume that the magnitude of the free-fall acceleration is g. What is the minimum wave amplitude Amin such that the ant will become momentarily "weightless" at some point as the wave passes underneath it? Assume that the mass of the ant is too small to have any effect on the wave propagation. Express the minimum wave amplitude in terms of Ts, μ, λ, and g. ► View Available Hint(s)
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