Final answer:
To determine the force in members DG and FH of the truss, we need to analyze the forces acting on the truss using the method of joints.
Step-by-step explanation:
To determine the force in members DG and FH of the truss, we need to analyze the forces acting on the truss. A truss is a structure made up of straight members connected at joints. In this case, the truss is shown with a central point and two members DG and FH. We have two forces acting on the truss: Fc (9.0 N) pointing right and Fw (13.0 N) pointing left. These forces create internal forces within the truss. To find the forces in members DG and FH, we can use the method of joints, which involves analyzing each joint to determine the forces acting on each member.
Let's start by analyzing joint D. At joint D, there are three forces: Fc, force in DG, and force in FH. Since the truss is in equilibrium, the sum of the vertical forces and horizontal forces at joint D must be zero. We can use these equilibrium equations to find the force in DG and FH. Similarly, we can analyze joint F to find the forces in members FH and DG. By solving these equations, we can determine the force in members DG and FH of the truss.