A certain violins string is $0\mathrm{.}5$m long and has a $=0\mathrm{.}002$kg$/$m$.$ It is tuned to the fundamental frequency of $392$Hz$.$ Calculate the tension in the string$\mathrm{.}6.$ When plucked, a certain guitar string vibrates with a combination of the first $6$ resonances, n $=1,2,3,4,5,$ and $6.$ Answer these two questions by visual inspection. a$)$ If you press down on the middle of the string, which of these will continue to resonate? b$)$ If you press down on the lower third of the string, which of these will continue to resonate?