For the arrangement shown in Figure P18.64, /θ = 30.0°, the inclined plane and the small pulley are frictionless, the string supports the object of mass M at the bottom of the plane, and the string has mass m that is small compared to M. The system is in equilibrium and the vertical part of the string has a length h. Standing waves are set up in the vertical section of the string.
(a) Find the tension in the string.
(b) Model the shape of the string as one leg and the hypotenuse of a right triangle. Find the whole length of the string.
(c) Find the mass per unit length of the string.
(d) Find the speed of waves on the string.
(e) Find the lowest frequency for a standing wave.
(f) Find the period of the standing wave having three nodes.
(g) Find the wavelength of the standing wave having three nodes.
(h) Find the frequency of the beats resulting from the interference of the sound wave of lowest frequency generated by the string with another sound wave having a frequency that is 2.00% greater.

Figure P18.64