A standing wave pattern is created on a string with mass density $=310-4$ kg$/$m$.$ A wave generator with frequency f $=62$ Hz is attached to one end of the string and the other end goes over a pulley and is connected to a mass $($ignore the weight of the string between the pulley and mass$).$ The distance between the generator and pulley is L $=0\mathrm{.}66$ m$.$ Initially the $3$rd harmonic wave pattern is formed.

Now the hanging mass is adjusted to create the $2$nd harmonic. The frequency is held fixed at f $=62$ Hz$.$

Keeping the frequency fixed at f $=62$ Hz$,$ what is the maximum mass that can be used to still create a coherent standing wave pattern?