Question
Download Solution PDFThe centroid of a quarter circle is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The centroid, C, is a point defining the geometric centre of an object.
The centroid coincides with the centre of mass or the centre of gravity only if the material of the body is homogenous (density or specific weight is constant throughout the body).
|
Shape |
Figure |
Area |
\(\bar x\) |
\(\bar y\) |
|
Semicircle
|
|
\(\frac{{\pi {R^2}}}{2}\) |
\(\frac{{4R}}{{3\pi }}\) |
0 |
|
Semicircle |
|
\(\frac{{\pi {R^2}}}{2}\) |
0 |
\(\frac{{4R}}{{3\pi }}\) |
|
Quadrant |
|
\(\frac{{\pi {R^2}}}{4}\) |
\(\frac{{4R}}{{3\pi }}\) |
\(\frac{{4R}}{{3\pi }}\) |
|
Semi – elliptical Area |
|
\(\frac{{\pi ab}}{2}\) |
0 |
\(\frac{{4b}}{{3\pi }}\) |
|
Parabola |
|
\(\frac{1}{3}bh\) |
\(\frac{{3b}}{4}\) |
\(\frac{{3h}}{{10}}\) |
Last updated on Jun 2, 2025
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