(Solved): (9\%) Problem 14: Consider a large crane holding a car of mass M=1900kg as shown in the figure. T ...

(9\%) Problem 14: Consider a large crane holding a car of mass $M=1900\mathrm{kg}$ as shown in the figure. The cable is $L=9.8\mathrm{m}$ long and has a density of $?=1.1\mathrm{kg}/\mathrm{m}$. It is a very breezy day and the cable starts to vibrate in the wind. (ctheexpertta.c $?33\%$ Part (a) Give an expression for the fundamental frequency of the cable's vibration. $\begin{array}{l}f=\frac{1}{2L}\sqrt{\frac{Mg}{?}}?\text{ Correct! }\\ 33\%\text{ Part (b) What would this frequency be in }\mathrm{Hz}\text{ ? }\\ f=6.638?\text{ Correct! }\end{array}$ A $33\%$ Part (c) What would the mass of the car, $M_2$, have to be so that the second harmonic vibration of the cable was the same frequency as the fundamental from part $(b)?$ $M_2=$