Serway & Jewett — Wave Motion: Problem 43

A sinusoidal wave in a rope is described by the wave function \[ y = 0.20 \sin (0.75\pi x + 18\pi t) \] where \( x \) and \( y \) are in meters and \( t \) is in seconds. The rope has a linear mass density of \( 0.250 \text{ kg/m} \). The tension in the rope is provided by an arrangement like the one illustrated in Figure P16.13. What is the mass of the suspended object?