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What is the formula for the moment of inertia of a rectangular section?

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Question: What is the formula for the moment of inertia of a rectangular section?

Options:

  1. bh^3/12
  2. bh^2/12
  3. b^3h/12
  4. b^2h/12

Correct Answer: bh^3/12

Solution:

The moment of inertia I of a rectangular section is given by I = bh^3/12, where b is the width and h is the height.

What is the formula for the moment of inertia of a rectangular section?

Practice Questions

Q1
What is the formula for the moment of inertia of a rectangular section?
  1. bh^3/12
  2. bh^2/12
  3. b^3h/12
  4. b^2h/12

Questions & Step-by-Step Solutions

What is the formula for the moment of inertia of a rectangular section?
  • Step 1: Understand that the moment of inertia is a measure of how difficult it is to change the rotation of an object.
  • Step 2: Identify the shape you are working with, which in this case is a rectangle.
  • Step 3: Recognize the dimensions of the rectangle: 'b' is the width and 'h' is the height.
  • Step 4: Use the formula for the moment of inertia of a rectangular section, which is I = (b * h^3) / 12.
  • Step 5: Plug in the values of 'b' and 'h' into the formula to calculate the moment of inertia.
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