Общая физика | Лекция 18: Уравнение Эйлера. Гироскоп. Свободная и вынужденная прецессии.

Lecture by Alexey Aleksandrovich Shcherbakov, PhD 0:00 Reminder from the previous lecture 5:35 Demonstration. Flight of a saucer 7:25 Special case (problem). Flight of a saucer 11:32 Euler's equation 15:55 Example 1. Rotation of a ball 17:10 Example 2. Rotation of a saucer 28:40 Gyroscope 29:53 Demonstration. Gimbal 32:40 Gyroscope with a Single Fixed Point 41:13 Nutation (Approximation to the Previous Example: w ∦ L) 44:51 Demonstration: Gyroscope with a Single Fixed Point 47:19 Effect of Friction on Gyroscope Rotation 50:34 Example: Chinese Spinning Top 58:09 Gyroscope with a Fixed Axis 1:03:29 Rule (Axis of Rotation and Direction of Forced Rotation) 1:05:30 Gyrocompass. Demonstration 1:07:55 Example: A Spinning Top Going Around Obstacles 1:12:10 Gyroscopic Forces 1:13:30 Center of Impact 1:17:55 Example 1: Rod Strike 1:19:46 Example 2: Hitting a Billiard Ball with a Cue 1:21:30 Summary Link to Notes Lecturer's website: https://github.com/aashcher/gephys_me... The "Mechanics" section is the first section of the five-semester general physics course. The entire course is fundamental for students in the Faculty of Physics and Engineering and forms the foundation for all subsequent studies. The first semester covers classical mechanics, elements of special relativity, elements of oscillation theory, elasticity theory, and continuum mechanics. Both classical results and achievements of modern physics are discussed within the context of the material covered. The course emphasizes the study of physical phenomena and laws, and it is expected that issues requiring specialized mathematical training will be addressed in subsequent courses in mathematical and theoretical physics. Upon completion of this course, students should know the fundamental laws of mechanics and be able to apply them to problem solving.