Physics - Wave on String Question with Solution | TestHub

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 vertical 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 : $\lambda =0.5\mathrm{m}$, $\mu =0.1\mathrm{kg}/\mathrm{m},\mathrm{F}=3.125\mathrm{N}$, take $\mathrm{g}={\pi }^2$ ]