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Chapter 11

Dynamics of Rotational Motions

Вращающий момент
Вращающий момент
Torque is an important quantity for describing the dynamics of a rotating rigid body. We see the application of torque in many ways in the world, such as ...
Расчет чистого крутящего момента
Расчет чистого крутящего момента
When a mechanic tries to remove a hex nut with a wrench, it is easier if the force is applied at the farthest end of the wrench handle. The lever arm is ...
Уравнение вращательной динамики
Уравнение вращательной динамики
Angular variables are introduced in rotational dynamics. Comparing the definitions of angular variables with the definitions of linear kinematic ...
Скатывание без скольжения
Скатывание без скольжения
People have observed the rolling motion without slipping ever since the invention of the wheel. For example, one can look at the interaction between a ...
Прокатка с проскальзыванием
Прокатка с проскальзыванием
Rolling with slipping is a physical phenomenon that occurs when a rolling object experiences both rotational and linear motion but also experiences ...
Работа и мощность для вращательного движения
Работа и мощность для вращательного движения
Work and power in rotational motion are completely analogous to work and power in translational motion. The total work done to rotate a rigid body through ...
Теорема о рабочей энергии для вращательного движения
Теорема о рабочей энергии для вращательного движения
The work-energy theorem for rotational motion is analogous to the work-energy theorem in translational motion. It states that the net work done by an ...
Угловой момент: одиночная частица
Угловой момент: одиночная частица
Angular momentum is directed perpendicular to the plane of the rotation, and its magnitude depends on the choice of the origin. The perpendicular vector ...
Угловой момент: твердое тело
Угловой момент: твердое тело
The total angular momentum of a rigid body can be calculated using the summation of the angular momentum of all the tiny particles rotating in the same ...
Сохранение момента импульса
Сохранение момента импульса
A system's total angular momentum remains constant if the net external torque acting on the system is zero. Considering a system that consists of n ...
Сохранение углового момента: применение
Сохранение углового момента: применение
A system's total angular momentum remains constant if the net external torque acting on the system is zero. Examples of such systems include a freely ...
Вращение асимметричного верха
Вращение асимметричного верха
By definition, a spherically symmetric body has the same moment of inertia about any axis passing through its center of mass. This situation changes if ...
Гироскоп
Гироскоп
A gyroscope is defined as a spinning disk in which the axis of rotation is free to assume any orientation. When spinning, the orientation of the spin axis ...
Гироскоп: прецессия
Гироскоп: прецессия
Precession can be demonstrated effectively through a spinning top. If a spinning top is placed on a flat surface near the surface of the Earth at a ...
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