Required information

The system shown can undergo vertical motion only and the springs are unstretched when $\frac{?}{\text{b}\text{a}\text{r}}({)}_A\frac{?}{b}=ar({)}_B=0.$

NOTE: This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part

Determine ${}_A,{}_B,$ and the force supported by each spring if $m_A=53kg,m_B=83kg,k_1=100\frac{N}{m}m,k_2=120\frac{N}{m}m,$ and $k3=140$

$\frac{N}{m}m.$ Express the force supported by each spring as a positive number for tensile forces and as a negative number for compressive

forces. $($Round the final answers to four decimal places. Include a minus sign if necessary.$)$

$\frac{?}{\text{b}\text{a}\text{r}}({)}_A\frac{,}{b}ar({)}_B,$ and the forces supported by each spring are as follows:

$\frac{?}{\text{b}\text{a}\text{r}}({)}_A=,mm\frac{?}{b}$

$ar({)}_B=,mm$

$F_1=,N$

$F_2=,N$

$F_3=,N$