What is the moment of inertia of a solid sphere of mass M and radius R about an

Practice Questions

Q1
What is the moment of inertia of a solid sphere of mass M and radius R about an axis through its center?
  1. 2/5 MR^2
  2. 3/5 MR^2
  3. 1/2 MR^2
  4. MR^2

Questions & Step-by-Step Solutions

What is the moment of inertia of a solid sphere of mass M and radius R about an axis through its center?
  • 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, we have a solid sphere.
  • Step 3: Know the variables involved. M is the mass of the sphere, and R is the radius of the sphere.
  • Step 4: Use the formula for the moment of inertia of a solid sphere about an axis through its center, which is I = 2/5 MR^2.
  • Step 5: Plug in the values of M and R into the formula if you have specific numbers, or just remember the formula for future use.
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