GATE ME 2023 Set 1 — Question 58
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Engineering Mathematics → Single Variable Calculus → Applications of Integrals
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Question
The area moment of inertia about the -axis of a linearly tapered section shown in the figure is _____________ .(Answer in integer)

Correct answer
3023.999 to 3024.001
Solution
The height of the section varies linearly from m at to m at m.
The area moment of inertia about the -axis is given by:
.
The area moment of inertia about the -axis is given by:
.
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