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2.1. Angle of rotation of a solid body

Lecture



With rotational movement, in contrast to translational, speed 2.1.  Angle of rotation of a solid body different points of the body are not the same. Therefore, the speed 2.1.  Angle of rotation of a solid body Any point of a rotating body cannot serve as a characteristic of the movement of the whole body.

Let t. O - the center of rotation of the body, and 2.1.  Angle of rotation of a solid body - fixed (or instantaneous) axis of rotation (Fig.2.2).

2.1.  Angle of rotation of a solid body

The position of an arbitrary m. Body will be set using the radius vector 2.1.  Angle of rotation of a solid body conducted from the center of O. From the figure it is clear that:

2.1.  Angle of rotation of a solid body ,

Where 2.1.  Angle of rotation of a solid body - radius vector drawn to the point of the circular arc along which m moves. For a short time, the vector 2.1.  Angle of rotation of a solid body rotates in the plane perpendicular 2.1.  Angle of rotation of a solid body on a small angle 2.1.  Angle of rotation of a solid body . At the same angle rotates in time. 2.1.  Angle of rotation of a solid body radius vector of any other point of the body, because otherwise the distance between these points should have changed. Thus, the angle of rotation characterizes the movement of the entire rotating body over a small period of time. Convenient to enter a vector 2.1.  Angle of rotation of a solid body elementary (small) body rotation, numerically equal 2.1.  Angle of rotation of a solid body and directed along the instantaneous axis so that from its end the rotation of the body is visible happening counterclockwise.


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Physical foundations of mechanics

Terms: Physical foundations of mechanics