Atwood-Hamilton Equation

The Atwood-Hamilton Equation describes how the tension on a rope changes when a weight accelerates while moving over a pulley. It considers the weight's mass, the pulley’s moment of inertia (how resistant it is to spinning), and the acceleration of the mass. Essentially, it helps predict the force needed to lift or move the weight when accounting for both the weight itself and the pulley’s resistance to turning. This equation is useful in physics and engineering to analyze systems like cranes, elevators, or any setup involving pulleys and moving masses.