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Given the location of the centre of mass...

Given the location of the centre of mass of a (i) sphere, (ii) cylinder, (iii) ring, and (iv) cube, each of uniform mass density. Does the centre of mass of a body necessarily lie on the body ?

Text Solution

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The geometrical centre of each. No, the CM may lie outside the body, as in case of a ring, a hollow sphere, a hollow cylinder, a hollow cube etc.
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Knowledge Check

  • The location of the centre of mass of a sphere is at:

    A
    its top
    B
    its bottom
    C
    geometric centre
    D
    all the above
  • Centre of mass of the body practically coincides with:

    A
    its centre of gravity
    B
    its centre of buoyancy
    C
    orthocentre
    D
    metacentre
  • Centre of mass of the body practically coincides with:

    A
    its centre of gravity
    B
    its centre of buoyancy
    C
    orthocentre
    D
    metacentre
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