1.S: Centers of Mass (Summary)
- Page ID
- 8349
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SUMMARY
Triangular lamina: 2/3 of way from vertex to midpoint of opposite side
Solid Tetrahedron, Pyramid, Cone: 3/4 of way from vertex to centroid of opposite face.
Hollow cone: 2/3 of way from vertex to midpoint of base.
Semicircular lamina: \(\frac{4a}{3\pi}\)
Lamina in form of a sector of a circle, angle \(2\alpha\) : \( \frac{(2a \sin\alpha)}{(3\alpha)}\)
Semicircular wire: \( \frac{2a}{\pi}\)
Wire in form of an arc of a circle, angle \( 2\alpha\) : \( \frac{(a \sin \alpha)}{\alpha}\)
Solid hemisphere: \( \frac{3a}{8}\)
Hollow hemisphere: \( \frac{a}{2}\)