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The center of mass of a system of two pa...

The center of mass of a system of two particles divides the distance between them.

A

in inverse ratio of square of masses of particles.

B

in direct ratio of square of masses of particles.

C

in inverse ratio of masses of particles.

D

in direct ratio of masses of particles.

Text Solution

Verified by Experts

The correct Answer is:
C
`r alpha 1/m`
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Does centre of mass of a system of two particles lie on the line joining the particles ?

Choose the wrong statements about the centre of mass (CM) of a system of two particles The CM lies on the line joining the two particles midway between them The CM lies on the line joining them at a point whose distance from each particle is proportional to the square of the mass of that particle The CM is on the line joining them at a point whose distance from each particle is proportional to the mass of that particl The CM lies on the line joining them at a point whose distance from each particle is inversely proportional to the mass of that particle

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 motion of the centre of mass of a system of two particles is unaffected by their internal forces.

    A
    irrespective of the actual direction of the internal forces.
    B
    only if they are along the line joining the particles
    C
    only if they are at right angles to the joining the particles
    D
    only if they are obliquely inclined to the line joining the particle.

  • Two particles are placed at some distance. If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the value of gravitational force between them will be

    A
    `(1)/(4)`times
    B
    4 times
    C
    `(1)/(2)`times
    D
    unchanged

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    Two particles of masses 5 gm and 10 gm are 12 cm apart. What will be the location of the centre of mass of the system of these two particles from the lighter particle is ?

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