In this paper, several more difficult problems are solved, the solutions of which are based on the fundamental law of classical dynamics, which is the law of conservation of angular momentum. The solutions to these problems are provided, and the results of the solutions are analyzed in detail.The laws of conservation of momentum, angular momentum, kinetic energy, and mechanical energy constitute the theoretical basis of general and technical mechanics. The paper provides solutions to several more difficult problems in theoretical dynamics that utilize the law of conservation of angular momentum.
2. APPLICATION OF THE LAW OF CONSERVATION OF ANGULAR MOMENTUM IN COMPOUND MOTION
2.1 Example 1
A hoop with a total mass M and radius R rests on a perfectly smooth, horizontal floor and can rotate freely around its center of mass O, as shown in Figure 1. A material point with mass m = M is located on the circumference of the hoop and at a certain moment begins to move along its circumference with a known velocity v. Determine the angle of rotation of the hoop in the case when point m travels the entire circumference of the hoop and returns to the starting point from which it departed.
(…)
The article contains 8982 characters.
Source: Logistyka Magazine