What is the relationship between torque and the pivot point?

Torque is defined as the rotational equivalent of linear force and is influenced by two key factors: the magnitude of the applied force and the distance from the pivot point, often referred to as the lever arm. Specifically, torque is calculated using the formula: Torque = Force × Distance from pivot. This indicates that as the distance from the pivot increases, for a given force, the torque also increases. Thus, the relationship clearly delineates how torque relies on both the force applied and its distance from the pivot, making the connection fundamental to understanding rotational motion.

The other options reflect misunderstandings about the nature of torque. For instance, indicating that torque does not vary with distance from the pivot neglects the essential factor of distance in the torque equation. Saying that torque is always less near the pivot point is misleading because while the torque may be less for a given force if applied closer to the pivot, this does not account for the influence of varying force or changing positions. Finally, the statement that torque only applies to static objects ignores its application in dynamic situations, where objects may be in motion or experiencing angular acceleration.