**Problem 6:**Determine the force in members CD, CF, and CG and state if these members are in tension or compression.**Diagram Explanation:**- The diagram illustrates a truss with several members connected at joints A, B, C, D, E, F, G, and H.- Forces acting downward at joints are as follows: - 2 kN at A, - 4 kN at B, - 4 kN at C, - 5 kN at D, - 3 kN at E.- Horizontal members are labeled AB, BC, CD, and DE.- Diagonal members include inclined sections connected to the top and bottom chords.- Vertical spacings and horizontal segments are marked as 5 meters, while vertical drop from the top to the lower chord at E is 3 meters.- All diagonal and vertical force members connect and establish a series of right-angled triangles.This problem involves analyzing the structure to find the forces in specified truss members (CD, CF, and CG) and determining whether each member is under tension or compression.

Consider the figure,Calculate the angle between member GF and the horizontal. Calculate the angle between member CD and CF.From the equilibrium equations, Take summation of horizontal forces is 0. Take summation of the moment at point A is 0. Take summation of vertical forces is 0.Consider the section of the truss, Here, T is the tension and C is the compression.Take summation of the moment at point C is 0. Take summation of vertical forces is 0. Take summation of horizontal forces is 0.Consider joint G, Take summation of horizontal forces is 0. Take summation of vertical forces is 0.Answer: The force in members CD, CF, and CG is,