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5.6. Moment of impulse of the material point and solid

Lecture



Radius-vector product   5.6.  Moment of impulse of the material point and solid material point on its momentum:   5.6.  Moment of impulse of the material point and solid called the angular momentum   5.6.  Moment of impulse of the material point and solid , this point relative to the point O (Fig.5.4)


  5.6.  Moment of impulse of the material point and solid

  5.6.  Moment of impulse of the material point and solid . Vector   5.6.  Moment of impulse of the material point and solid sometimes also called the moment of momentum of a material point. It is directed along the axis of rotation perpendicular to the plane drawn through the vectors   5.6.  Moment of impulse of the material point and solid and   5.6.  Moment of impulse of the material point and solid and forms with them the right three of vectors (when observed from the top of the vector, it can be seen that the rotation is the shortest distance from   5.6.  Moment of impulse of the material point and solid to   5.6.  Moment of impulse of the material point and solid going counterclockwise).

Vector sum of impulses   5.6.  Moment of impulse of the material point and solid All material points of the system are called angular momentum (momentum)   5.6.  Moment of impulse of the material point and solid systems relative to point O:

  5.6.  Moment of impulse of the material point and solid

Vectors   5.6.  Moment of impulse of the material point and solid and   5.6.  Moment of impulse of the material point and solid mutually perpendicular and lie in the plane perpendicular to the axis of rotation of the body. therefore   5.6.  Moment of impulse of the material point and solid . Taking into account the relationship of linear and angular values

  5.6.  Moment of impulse of the material point and solid

and directed along the axis of rotation of the body in the same direction as the vector   5.6.  Moment of impulse of the material point and solid .

In this way.

  5.6.  Moment of impulse of the material point and solid

The moment of the impulse of the body relative to the axis of rotation

  5.6.  Moment of impulse of the material point and solid

those.

  5.6.  Moment of impulse of the material point and solid (5.9)

Consequently, the angular momentum of the body relative to the axis of rotation is equal to the product of the moment of inertia of the body relative to the same axis and the angular velocity of rotation of the body around this axis.


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Physical foundations of mechanics

Terms: Physical foundations of mechanics