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Physics LibreTexts

1.S: Centers of Mass (Summary)

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    8349
  • [ "article:topic", "authorname:tatumj", "showtoc:no" ]

    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: \( \frac{a}{2}\)

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