Math  /  Geometry

QuestionFinal Exime - Static Imad AL-Gasem
The thaded area shown lit the flutre, (4) Cakculate the yy - coordinate of the centrold, without chinging the muin axest - Catralate the moment of inertia about the Y -axis: 7) Find the radius of gyration about Y -axis.

Studdy Solution
Find the radius of gyration about the Y-axis:
- Use the formula for the radius of gyration: $ k_y = \sqrt{\frac{I_y}{A}} \]
- Substitute the calculated moment of inertia and total area: $ k_y = \sqrt{\frac{I_y}{5400 + 3600 - 800\pi}} \]
STEP_4 (continued): Calculate the numerical value of kyk_y using the above expression.
The yy-coordinate of the centroid, moment of inertia about the Y-axis, and radius of gyration about the Y-axis are calculated as per the above steps.

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