Final answer:
Circular motion and rotational dynamics, suitable for High School students, involving disk rotation, precession of gyroscopes, and work-energy principles.
Step-by-step explanation:
Circular motion and rotational dynamics, and it would likely be covered in a Physics curriculum at the High School level. When dealing with circular motion, the linear displacement of a point on the circumference of a disk is related to its angular displacement. This can be measured using a proximity sensor, and the displacement distance would be calculated based on the rotation of the disk and the known radius.
A gyroscope's period of precession is also a concept in rotational dynamics, where the mass of the disk, rotational speed, and its center of mass's distance from the pivot contribute to the calculation of the precession period. For the cart track experiment, the relationship between the force exerted and the work done as the cart moves through a distance involves understanding Newton's second law and the work-energy theorem.