To calculate the tension and hinge forces in static equilibrium for a metal pole with a mass of 10kg and a load of 50kg, the tension in the rope was found to be approximately 188.29 N using torque equilibrium equations. The vector diagram was set with the origin at the hinge, and the torque equation was established with respect to the hinge point. The vertical force balance yielded an upward force at the hinge of 523.7 N, while the horizontal force balance resulted in a horizontal force of 176.93 N. The calculations appear to be correct based on the provided equations. This approach effectively determines the forces acting on the system in static equilibrium.
