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Determine the position of the centre of mass of a hemisphere of radius R.

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Locate the position of the centre of mass of a hemisphere of radius R as shown in the following figure:

Position of the centre of mass is :-

Knowledge Check

  • The distance of the centre of mass of a hemispherical shell of radius R from its centre is

    A
    `R/2`
    B
    `R/3`
    C
    `(2R)/2`
    D
    `(2R)/3`

  • Find the position of centre of mass of a uniform disc of radius R from which a hole of radius is cut out. The centre of the hole is at a distance R/2 from the centre of the disc.

    A
    `(Rr^(2))/(2 (R^(2) - r^(2))` towards right of O
    B
    `(Rr^(2))/(2(R^(2) - r^(2))` towards left of O
    C
    `(2Rr^(2))/((R^(2) + r^(2))` towards right of O
    D
    `(2Rr^(2))/((R^(2) + r^(2))` towards left of O

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