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Statement-1 : The centre of mass of a tw...

Statement-1 : The centre of mass of a two particle system lies on the line joining the two particles, being closer to the heavier particle.
Statement-2 : Product of mass of one particle and its distance from centre of mass is numerically equal to product of mass of other particle and its distance from centre of mass.

A

Statement-1 is True, Statement-2 is True,
Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is True, Statement-2 is True,
Statement-2 is NOT a correct explanation for Statement-1

C

Statement-1 is True, Statement-2 is False

D

Statement-1 is False, Statement-2 is False

Text Solution

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The correct Answer is:
A
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Prove that the centre of mass of two particle divides the line joining the particles in the inverse ratio of their masses.

Knowledge Check

  • The centre of mass of two particles system lies

    A
    at the midpoint on the line joining the two particles.
    B
    at one end of line joining the two particles
    C
    on the line perpendicular to the line joining two particles
    D
    on the line joining the two particles

  • The centre of mass of a system of particles does not depend on

    A
    Masses of the particles
    B
    Forces on the particles,
    C
    Position of the particles
    D
    Relative distance between the particles.

  • The centre of mass of a system of particles does not depend on

    A
    masses of the particles
    B
    forces acting on the particles
    C
    position of the particles
    D
    relative distances between the particles

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