As shown in the figure below, a string attached to a vertical wall passes over a pulley at the end of a horizontal rod, and supports a sphere. The horizontal rod has a length $\backslash ($ L$=0\mathrm{.}220\backslash$mathrm$\{$~m$\}\backslash ),$ the mass of the sphere is $\backslash ($ M$=1\mathrm{.}30\backslash$mathrm$\{$~kg$\}\backslash ),$ the string makes an angle $\backslash (\backslash$theta$=33\mathrm{.}0^\{\backslash$circ$\}\backslash )$ with the rod, and, when the string is plucked, the fundamental frequency of standing waves in the portion of the string above the rod is $\backslash ($ f$=50\mathrm{.}0\backslash$mathrm$\{$~Hz$\}\backslash ).$ Determine the mass of the portion of the string above the rod $($in g $).$

Enter a number. ioin of the string of interest is vibrating in the fundamental mode, how does this length of string compare to a wavelength of the standing wave? How are the frequency and wavelength of the standing wave related to the tension in the string and the linear mass density of the string? How is the tension in the string related to the mass of the sphere suspended by the string? How is the length of the string related to the length of the rod? g