What is the moment of inertia of a solid disk about its central axis?

Practice Questions

Q1
What is the moment of inertia of a solid disk about its central axis?
  1. (1/2)MR^2
  2. (1/3)MR^2
  3. (1/4)MR^2
  4. MR^2

Questions & Step-by-Step Solutions

What is the moment of inertia of a solid disk about its central axis?
  • Step 1: Understand what moment of inertia means. It is a measure of how difficult it is to rotate an object around an axis.
  • Step 2: Identify the shape of the object. In this case, we have a solid disk.
  • Step 3: Recognize that the central axis is the line that goes through the center of the disk and is perpendicular to its surface.
  • Step 4: Know the formula for the moment of inertia of a solid disk about its central axis. It is given by the formula (1/2)MR^2.
  • Step 5: In the formula, 'M' represents the mass of the disk, and 'R' represents the radius of the disk.
  • Step 6: To find the moment of inertia, you need to know the mass and radius of the disk, then plug those values into the formula.
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