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Can centre of mass of a body lie where t...

Can centre of mass of a body lie where there is absolutely no mass ?

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Yes, For example in a ring the centre of mass is at the centre of the ring where there is no mass.
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The centre of mass of a body

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The centre of mass of a body lies

Statement-1 : The centre of mass of a body may lie where there is no mass. Statement-2 : The centre of mass has nothing to do with the mass.

Statement-1: The centre of mass of body may lie where there is no mass. Statement-2: Centre of mass of a body is a point, where the whole mass of the body is supposed to be concentrated.

Can mass of a body ever be zero?

Can centre of mass of a body coincide with the geometrical centre of the body ?

Can centre of mass of a body coincide with geometrical centre of the body ?

Knowledge Check

  • The centre of mass of a body

    A
    Lies always at the geometrical centre
    B
    Lies always inside the body
    C
    Lies always outside the body
    D
    May lie within or outside the body.

  • The centre of mass of a body

    A
    depends on the choice of co - ordinate system
    B
    is independent of the choice of co - ordinate system .
    C
    may or may not depend on the choice of co - ordinate system
    D
    None of the above

  • The centre of mass of a body

    A
    lies always outside the body.
    B
    may lie within, outside on the surface of the body.
    C
    lies always inside the body.
    D
    lies always on the surface of the body.
    • MODERN PUBLICATION-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-Chapter Practice Test (for Board Examination)
    1. Can centre of mass of a body lie where there is absolutely no mass ?

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    2. Which component of linear momentum does not contribute to angular mome...

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    3. Can a body moving in a circular path be at equilibrium?

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    4. Does the moment of inertia of a body change with the speed of rotatio...

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    5. Two lenses, one convex and other concave, are of same mass and same ra...

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    6. Why the handles of the doors are at maximum distance from the hinges?

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    7. State and explain parallel axis theorem and perpendicular axis theorem...

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    8. If earth were to shrink suddenly, what would happen to the length of t...

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    9. The angular momenta of two bodies X and Y are equal and moment of iner...

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    10. (i) A person sits near the edge of a circular platform revolving with ...

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    11. Show that the angular momentum of a particle is equal to twice the pro...

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    12. Establish a relation between angular momentum and moment of inertia of...

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    13. Write the relation between electric power (W ) of a device with potent...

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    14. How will you distinguish between a hard boiled egg and a raw egg by s...

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    15. The speed of the motor of an engine is 300 rpm. In 2 s, the speed incr...

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    16. Derive an expression for the acceleration of a solid cylinder rolling ...

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