A one$-$string Aeolian harp is constructed by attaching the lower end of a

$1\mathrm{.}66-$m$-$long rigid and uniform pole with a mass of $9\mathrm{.}00$ kg to a tree at a

pivot and then using a light rope to hang a $39\mathrm{.}0-$cm$-$long hollow steel tube

with a mass of $4\mathrm{.}50$ kg from its upper end. A horizontal wire between the

pole and the tree is attached to the pole at a height h above the pivot and

holds the pole at a $45\mathrm{.}0^($@$)$ angle with the vertical. The wire is uniform and

has linear mass density mu$=1\mathrm{.}40$g$//$m$.$ When the wind blows, the wire

resonates at its fundamental frequency. The height h is chosen such that

the sound emitted by the wire stimulates the fundamental standing wave

in the tube, which harmonizes with the resonating wire. The speed of

sound in air is $344$m$//$s$.$

Part A

What is the frequency of the note produced by this instrument?

Express your answer with the appropriate units.

Request Answer

Part B

At what height h should the wire be placed? $($Hint: The pole is in static equilibrium, so the net torque on it is zero and this determines the tension in the wire as a function of h$.)$

Express your answer with the appropriate units.

h$=$

Units

Please show work