How the Force of Tension on a Pulley Changes with Acceleration

The video tutorial explores the concept of rotational inertia using a demonstrator from Arbor Scientific. It explains how the force of tension in a string changes with the acceleration of a pulley system. The tutorial uses free-body diagrams to illustrate the forces acting on the system, including gravity and tension. It calculates the force of tension when the system is at rest and when it is accelerating, showing how the tension decreases as the system accelerates. The video concludes with observations on the relationship between tension force and acceleration.

What is the significance of the free-body diagrams in understanding the forces acting on the pulley and hanging mass?

Calculate the force of tension after the pulley is released, given the mass and angular acceleration.