An ant with mass `m` is standing peacefully on top of a horizontal, stretched rope. The rope has mass per unit length `mu` and is under tension `F`. Without warning, a student starts a sinusoidal transverse wave of wavelength `lambda` propagating along the rope. the motion of the rope is in a verticle plane. what minimum wave amplitude (in mm) will make the ant feel weightless momentarily? Assume that `m` is so small that the presence of the ant has no effect on the propagation of the wave.
[Given: `lambda=0.5 m,mu=0.1 kg//m,F=3.125 N,take g=pi^(2)`]