Determine the moment of inertia

Chapter 10, Problem 10-47

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QUESTION:

Determine the moment of inertia of the shaded area about the y axis

Questions & Answers

QUESTION:

Determine the moment of inertia of the shaded area about the y axis

ANSWER:

Step 1 of 3

We can divide this composite body into a two triangle and rectangle with a circular hole .Since we know how to calculate the moment of inertia of rectangle and circle we can construct our  rectangle with a hole from a rectangle of a positive area and a circle of a negative area.

The centroid of a triangle is  above its base (this works for every triangle and every base).

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