In a lever system in static equilibrium, the relationship that holds true is?

In a lever system in static equilibrium, the fundamental principle at play is the balance of torques around the pivot point. For the lever to remain in equilibrium, the clockwise moments (torques) must equal the counterclockwise moments.

The correct relationship establishes that the product of the force applied (effort) and the distance from the pivot to where that force is applied (effort arm) must equal the product of the load force and the distance from the pivot to where the load acts (load arm). This is formulated mathematically as Effort x Effort arm = Load x Load arm.

This relationship reflects how the lever amplifies the force applied. By increasing the distance from the pivot point (the effort arm), less effort is needed to balance a heavier load, which can be crucial in various applications ranging from simple machines to complex engineering systems.

Understanding this balance is vital for practical applications, such as designing tools and machinery that rely on levers to function efficiently.