3D dynamics rotation is a branch of mechanics that deals with the movement and behavior of objects in three-dimensional space. It involves studying the forces and torques that act on objects, as well as the resulting motion and changes in orientation.
Rotation refers to the circular movement of an object around a fixed point, while translation refers to the movement of an object from one location to another in a straight line. In 3D dynamics, both rotation and translation can occur simultaneously.
The formula for rotational inertia is I = Σmr², where I is the rotational inertia, Σ is the sum of the masses of all the particles in an object, and r is the distance of each particle from the axis of rotation.
Rotational inertia determines how difficult it is to change an object's rotational motion. The greater the rotational inertia, the more force is required to accelerate or decelerate the rotation of an object.
Angular momentum is a measure of an object's resistance to changes in rotational motion. It is closely related to rotational dynamics, as changes in angular momentum can be caused by external torques acting on an object.