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Computing the moment of inertia of an extended body

Okay, your turn. What happens if the density of the rod isn't uniform, but changes from one end to the other? Suppose that a rod has length L = 10 m and density

  1. What is the total mass of this rod? (Hint: integrate the mass of tiny pieces from one end to the other)
  2. What is the moment of inertia of this rod? (Hint: integrate the moment of inertia of tiny pieces from one end to the other)

Creative Commons License Copyright © Michael Richmond. This work is licensed under a Creative Commons License.