What is the moment of inertia of a thin rod of length L about an axis perpendicu

Practice Questions

Q1
What is the moment of inertia of a thin rod of length L about an axis perpendicular to it and passing through one end?
  1. (1/3)ML^2
  2. (1/12)ML^2
  3. ML^2
  4. (1/2)ML^2

Questions & Step-by-Step Solutions

What is the moment of inertia of a thin rod of length L about an axis perpendicular to it and passing through one end?
Correct Answer: I = (1/3)ML^2
  • Step 1: Understand what moment of inertia is. It measures how difficult it is to rotate an object around an axis.
  • Step 2: Identify the object in question. We have a thin rod of length L.
  • Step 3: Determine the axis of rotation. The axis is perpendicular to the rod and passes through one end.
  • Step 4: Recall the formula for the moment of inertia of a thin rod about an end. It is I = (1/3)ML^2, where M is the mass of the rod.
  • Step 5: Substitute the values if needed. If you know the mass (M) and length (L) of the rod, you can calculate the moment of inertia using the formula.
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