An ant with mass m is standing peacefully on top of ahorizontal, stretched rope. The rope has mass per unitlength μ and is under tension F. Without warning, Throckmorton starts a sinusoidal transverse wave of wavelength lambda propagating along the rope. The motionof the rope is in a vertical plane.
What minimum wave amplitude will make the ant become momentarilyweightless? Assume that m is so small that the presence of theant has no effect on the propagation of the wave.
Express your answer in terms of the variables the fourvariables, and appropriate constants.