Finding Second Moment of Inertia for Shaded Area Through Centroid?

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SUMMARY

The discussion focuses on calculating the second moment of inertia for a shaded area with respect to the horizontal and vertical axes through its centroid. The participants clarify that the axes used for calculations differ from those depicted in the provided figure, specifically referencing the coordinates of 0mm and -30mm for the y-values in the calculations. Accurate interpretation of the problem statement and figures is essential for correct calculations. Misunderstandings regarding the axes can lead to incorrect results.

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  • Understanding of second moment of inertia concepts
  • Familiarity with centroid calculations
  • Knowledge of coordinate systems in engineering mechanics
  • Ability to interpret engineering diagrams and figures
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  • Study the calculation methods for second moment of inertia in mechanical engineering
  • Learn about centroid determination for complex shapes
  • Review coordinate transformations in structural analysis
  • Examine examples of shaded area calculations in engineering textbooks
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Students and professionals in mechanical engineering, civil engineering, and structural analysis who are involved in calculating moments of inertia and understanding centroid properties of various shapes.

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Homework Statement


determine the second moment of inertia about the horizontal axis and vertical axis for the shaded area with respect to x and y axes through the centroid of the area .

Homework Equations

The Attempt at a Solution


Since the x and y axes is drawn thru centroid , why not the y for part 1 = 0mm ? y for part 2 = -30mm?
 

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werson tan said:

Homework Statement


determine the second moment of inertia about the horizontal axis and vertical axis for the shaded area with respect to x and y axes through the centroid of the area .

Homework Equations

The Attempt at a Solution


Since the x and y axes is drawn thru centroid , why not the y for part 1 = 0mm ? y for part 2 = -30mm?
Because the axes being used for the calculation are not the same ones shown in Fig. 6.7. The calculation axes are shown at the lower right-hand part of the page, just above the table.

You must read the text in order to follow what is going on; you can look at one picture and assume it applies regardless.
 
SteamKing said:
You must read the text in order to follow what is going on; you can look at one picture and assume it applies regardless.
You meant 'cannot', right?
 
haruspex said:
You meant 'cannot', right?
Yes.
 

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