Education, The science
Kinetic energy: concept
The kinetic energy is, by definition, a value equal to half the mass of the moving body multiplied by the square of the velocity of this body. This is one of the most important terms of modern mechanics. To put it briefly, it is the energy of motion, or the difference of total energy and rest energy. Yet its essence is not fully understood in modern science.
Kinetic energy (from the Kinema group - motion) of a body in a state
The kinetic energy of a system is a quantity that is closely related to the speed of each of its points.
It is considered both in the forward motion and in the rotational motion. The first case has already been explained in detail above, this is half the mass of an object multiplied by its speed in a square. And the kinetic energy of the body's rotation is represented as the sum of the kinetic energies of each of the elementary volumes of a given body. Or as the value of the moment of inertia multiplied by the square of the angular velocity divided by two.
Suppose there is some solid body that makes a motion around the axis
In some cases, the kinetic energy is the sum of both translational and rotational energy. For example, sliding without sliding on an inclined line cylinder. Moving forward, it performs translational motion, however, while it also moves around its axis.
The kinetic energy theorem can be formulated approximately as follows: the work of a force that acts on a certain body is equivalent to a change in the kinetic energy of a given body.
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