Final answer:
To find the horizontal and vertical components of forces at pins A, B, and C, draw a free-body diagram, use trigonometric functions for component resolution, and apply static equilibrium equations to solve for the unknown forces.
Step-by-step explanation:
Resolving Forces in a Two-Member Frame
To determine the horizontal and vertical components of forces at the pins A, B, and C in a two-member frame, one must use static equilibrium conditions which involve the resolution of forces and calculation of moments.
First, you draw a free-body diagram showing all forces acting on the system. When resolving forces, use trigonometric functions to find the horizontal (Ax, Bx) and vertical (Ay, By) components based on the direction angles and the magnitudes of the forces.
Implement static equilibrium equations to ensure that the sum of forces in both the horizontal and vertical directions equal zero and that the sum of moments about any pivot point also equals zero.
This approach will yield a system of equations that, once solved, provide the unknown force components Ax, Ay, Bx, and By. Note that since the weight is distributed evenly, Ay equals By in this scenario.