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Chapter 10

Rotation and Rigid Bodies

Угловая скорость и смещение
Угловая скорость и смещение
Uniform circular motion is motion in a circle at a constant speed. Although this is the simplest case of rotational motion, it is very useful for many ...
Угловая скорость и ускорение
Угловая скорость и ускорение
We previously discussed angular velocity for uniform circular motion, however not all motion is uniform. Envision an ice skater spinning with their arms ...
Вращение с постоянным угловым ускорением - I
Вращение с постоянным угловым ускорением - I
If angular acceleration is constant, then we can simplify equations of rotational kinematics, similar to the equations of linear kinematics. This ...
Вращение с постоянным угловым ускорением - II
Вращение с постоянным угловым ускорением - II
Kinematics is the description of motion. The kinematics of rotational motion discusses the relationships between rotation angle, angular velocity, angular ...
Связь угловых и линейных величин - I
Связь угловых и линейных величин - I
If the rotational definitions are compared with the definitions of linear kinematic variables from motion along a straight line and motion in two and ...
Связь угловых и линейных величин - II
Связь угловых и линейных величин - II
In the case of circular motion, the linear tangential speed of a particle at a radius from the axis of rotation is related to the angular velocity by the ...
Момент инерции
Момент инерции
The comparability between linear and angular velocities, linear and angular accelerations, and the kinematic equations of translational and rotational ...
Момент инерции и кинетическая энергия вращения
Момент инерции и кинетическая энергия вращения
The rotational kinetic energy of a body is equal to half the square of its angular speed and the moment of inertia. This relationship between the ...
Момент инерции: расчеты
Момент инерции: расчеты
The moment of inertia of an object depends on its axis of rotation. Consider a barbell consisting of two masses attached to the ends of a rod. The masses ...
Момент инерции составных объектов
Момент инерции составных объектов
The moment of inertia is a quantitative measure of the rotational inertia of an object. It is defined as the sum of the products obtained by multiplying ...
Теорема о параллельной оси
Теорема о параллельной оси
The parallel-axis theorem provides a convenient and quick method of finding the moment of inertia of an object about an axis parallel to the axis passing ...
Теорема о перпендикулярной оси
Теорема о перпендикулярной оси
The perpendicular-axis theorem states that the moment of inertia of a planar object about an axis perpendicular to its plane is equal to the sum of the ...
Векторное преобразование во вращающихся системах координат
Векторное преобразование во вращающихся системах координат
Consider a vector rotating about an axis with an angular velocity, such that its tip sweeps a circular path. In time Δt, the vector moves through an ...
Сила Кориолиса
Сила Кориолиса
An accelerating particle experiences a force equal to the mass multiplied by the acceleration in an inertial frame of reference. Consider a particle in a ...
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