Final answer:
The analysis of truss systems involves resolving tension vectors, drawing free-body diagrams, and using the equilibrium conditions to determine the forces on the members.
Step-by-step explanation:
The question pertains to the analysis of a truss system to determine the force in each member and to identify whether those members are in tension or compression. This involves drawing a new free-body diagram to resolve the force vectors into their horizontal and vertical components. The first step is to use the equilibrium conditions which state that the sum of forces in any direction for a system in static equilibrium is zero. This means that the forces along the horizontal and vertical axes must balance out. By identifying the direction of forces on each truss member, it can then be determined if a member is in tension (being pulled) or in compression (being pushed). The process involves using trigonometry and the principles of statics to solve for the forces after the free-body diagram is prepared.
In summary, the tasks involve resolving tension vectors, drawing a free-body diagram that shows all forces acting on the system, and applying the concept of equilibrium to find the magnitude of forces and to stipulate whether the members are in tension or compression.