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Moment of inertia of a circle by integration
Moment of inertia of a circle by integration











moment of inertia of a circle by integration

Because r is the distance to the axis of rotation from each piece of mass that makes up the object, the moment of inertia for any object depends on the chosen axis. We defined the moment of inertia I of an object to be I = ∑ i m i r i 2 I = ∑ i m i r i 2 for all the point masses that make up the object. This section is very useful for seeing how to apply a general equation to complex objects (a skill that is critical for more advanced physics and engineering courses).

moment of inertia of a circle by integration

In this section, we show how to calculate the moment of inertia for several standard types of objects, as well as how to use known moments of inertia to find the moment of inertia for a shifted axis or for a compound object. In the preceding section, we defined the moment of inertia but did not show how to calculate it.

  • Calculate the moment of inertia for compound objects.
  • Apply the parallel axis theorem to find the moment of inertia about any axis parallel to one already known.
  • Calculate the moment of inertia for uniformly shaped, rigid bodies.
  • moment of inertia of a circle by integration

    By the end of this section, you will be able to:













    Moment of inertia of a circle by integration