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From a uniform disc of radius R, a circu...

From a uniform disc of radius `R`, a circular section of radius `R//2` is cut out. The centre of the hole is at `R//2` from the centre of the original disc. Locate the centre of mass of the resulting flat body.

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COM of resulting portion lies at `R//6` from the centre of the original disc in a direction opposite to the centre of the cut out portion.
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From a uniform disc of radius R , a circular section of radius R//2 is cut out. The centre of the hole is at R//2 from the centre of the original disc. Locate the centre of mass of the resulating flat body.

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Knowledge Check

  • 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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