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Obtain an expression for the position ve...

Obtain an expression for the position vector of centre of mass of a two particle system.

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Three particles , each of mass m, are placed at the vertices of a right angled triangle as shown in figure. The position vector of the center of mass of the system is (O is the origin and hat(i), hat(j), hat(k) are unit vectors)

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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 position of centre of mass of a system of particles does not depend upon

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

  • Three particles , each of mass m, are placed at the vertices of a right angled triangle as shown in figure. The position vector of the center of mass of the system is (O is the origin and hat(i), hat(j), hat(k) are unit vectors)

    A
    `1/3(ahat(i)-bhat(j))`
    B
    `2/3(ahat(i)-bhat(j))`
    C
    `2/3(ahat(i)+bhat(j))`
    D
    `1/3(ahat(i)+bhat(j))`