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5.3. The moment of inertia of the material point relative to a fixed axis of rotation

Lecture



According to Newton's second law, for the tangential component of the force   5.3.  The moment of inertia of the material point relative to a fixed axis of rotation acting on a material point of mass m and acceleration   5.3.  The moment of inertia of the material point relative to a fixed axis of rotation

we can write

  5.3.  The moment of inertia of the material point relative to a fixed axis of rotation

Given that

  5.3.  The moment of inertia of the material point relative to a fixed axis of rotation and   5.3.  The moment of inertia of the material point relative to a fixed axis of rotation

we have

  5.3.  The moment of inertia of the material point relative to a fixed axis of rotation

Common and right parts on   5.3.  The moment of inertia of the material point relative to a fixed axis of rotation and get

  5.3.  The moment of inertia of the material point relative to a fixed axis of rotation (5.2)

or

  5.3.  The moment of inertia of the material point relative to a fixed axis of rotation

The product of the mass of a material point   5.3.  The moment of inertia of the material point relative to a fixed axis of rotation body to the square of its distance   5.3.  The moment of inertia of the material point relative to a fixed axis of rotation before the axis of rotation is called the moment of inertia of the material point relative to the axis of rotation:

  5.3.  The moment of inertia of the material point relative to a fixed axis of rotation (5.3)


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Physical foundations of mechanics

Terms: Physical foundations of mechanics