2born (2born) wrote,
2born
2born

Педагогическое об описании движения симметрического волчка

Why do we use constants of motion while studying the motion of a heavy symmetric top? https://arxiv.org/abs/2103.13984
Vedat Tanriverdi
While studying the motion of a heavy symmetric top, in general, constants of motion are used. Some students may want to understand the motion in terms of torque, which can lie on their routine based on the usage of Newton's second law. However, this is not easy.
In this work, first, we will show the equivalence of torque-angular momentum relation and Euler equations for a heavy symmetric top. Both of these give the description of the motion in terms of torque. Then, we will study some simple motions of a heavy symmetric top in terms of torque, angular momentum, angular velocities and accelerations, which can help students in understanding rigid body rotations and the necessity of considering the motion of a heavy symmetric top in terms of constants. We will also study Perry's historical observational principle on the relation between precession and the rise of the top.
Comments: 17 pages
Tags: Мегаучебник или Что я читал и похвалил, образование, разгребая arXiv'ы
Subscribe

  • Как я не стал обладателем раритета

    Говорят, сегодня день рождения Винни-Пуха (узнал об этом от уважаемого френда kavery), и вот какая история мне в связи с этим…

  • Быстрозяма:)

    2021-10-14-zim_reduced.jpg © qedqed.iMGSRC.RU 2021-10-14-zim_corr0.jpg © qedqed.iMGSRC.RU 2021-10-14-zim_detail.png ©…

  • Зарянка

    В понедельник зарегистрировал на том самом месте, где за два дня до этого отловил завирушку:)) К сожалению, в самой выигрышной позиции, когда вся…

  • Post a new comment

    Error

    default userpic

    Your reply will be screened

    Your IP address will be recorded 

    When you submit the form an invisible reCAPTCHA check will be performed.
    You must follow the Privacy Policy and Google Terms of use.
  • 0 comments