Final answer:
The rotation method in physics is a circular movement of points around a fixed axis, maintaining proportional relationships analogous to those in translational motion. It involves angular variables like angular displacement, velocity, and acceleration that correspond to their linear counterparts.
Step-by-step explanation:
The rotation method refers to a type of motion where a rigid body moves in such a way that all parts of the body describe circular paths around a single fixed axis, with the angles swept out by the radius vectors corresponding to each point on the body being equal. In other words, it is a circular movement of points, adjusting angles accordingly, which is option b in the multiple choices provided. Similar to translational motion, where we have linear displacements, velocities, and accelerations, in rotational motion we have analogs such as angular displacement, angular velocity, and angular acceleration.
Pure rotational motion means that all points in an object move in circular paths centered on one fixed point, which can be contrasted with pure translational motion where there is no rotation at all. A rotating hockey puck on ice exemplifies a motion that combines rotation and translation. Importantly, the rotation method keeps proportional relationships intact, similar to how expansion or contraction in mathematics preserves ratios.
Lastly, the kinematics of rotational motion describe the relationships between rotational variables (angular displacement, angular velocity, and angular acceleration) and their translational counterparts (linear displacement, linear velocity, and linear acceleration).