Consider the springr-igid body system described in problem 5. What force F 2 F 2 should be

Consider the springr-igid body system described in problem 5. What force $F_2$ should be applied on body 2 in order to keep it from moving? How will this affect the support reactions?

Data From Problem 5:

Three rigid bodies, 2,3, and 4, are connected by six springs as shown in the figure. The rigid walls are represented by 1 and 5. A horizontal force \(F_{3}=2000 \mathrm{~N}\) is applied on body 3 in the direction shown in the figure. Assume the bodies can undergo only translation in the horizontal direction. The spring constants \((\mathrm{N} / \mathrm{mm})\) are: \(k^{(1)}=200, k^{(2)}=400, k^{(3)}=600, k^{(4)}=300, k^{(5)}=500, k^{(6)}=300\).

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