Determine the moment of inertia

Chapter 10, Problem 10-18

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QUESTION:

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

Questions & Answers

QUESTION:

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

ANSWER:

Step 1 of 3

Draw the free-body diagram showing the differential element of the shaded area as,

Write the equation of the shaded area as,

\(y = \frac{h}{{{b^3}}}{x^3} \)

Consider a rectangular differential element concerning the x-axis with a thickness dx and intersects the boundary at (x,y).

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