What is the moment of inertia of a uniform thin circular plate of mass M and rad

Practice Questions

Q1
What is the moment of inertia of a uniform thin circular plate of mass M and radius R about an axis through its center and perpendicular to its plane?
  1. 1/2 MR^2
  2. MR^2
  3. 1/4 MR^2
  4. 2/5 MR^2

Questions & Step-by-Step Solutions

What is the moment of inertia of a uniform thin circular plate of mass M and radius R about an axis through its center and perpendicular to its plane?
  • Step 1: Understand what moment of inertia means. It is a measure of how difficult it is to change the rotation of an object.
  • Step 2: Identify the shape of the object. In this case, it is a uniform thin circular plate.
  • Step 3: Recognize the parameters given: mass (M) and radius (R) of the plate.
  • Step 4: Know that we need to find the moment of inertia about an axis that goes through the center of the plate and is perpendicular to its surface.
  • Step 5: Use the formula for the moment of inertia of a uniform thin circular plate, which is I = 1/2 MR^2.
  • Step 6: Substitute the values of M and R into the formula to find the moment of inertia.
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