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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))`
    • PRADEEP-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-LONG ANSWER QUESTIONS
    1. Obtain an expression for the position vector of centre of mass of a tw...

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    2. Obtain an expression for the position vector of centre of mass of a sy...

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    3. Show that centre of mass of an isolated system moves with a uniform ve...

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    4. Discuss atleast three examples of the motion of centre of mass.

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    5. Briefly discuss the concept of torque or moment of a force.

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    6. Derive an expression for torque in cartesian co-ordinates.

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    7. Obtain a expression for torque in polar co-ordinates.

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    8. Explain the concept of angular momentum and obtain an expression for i...

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    9. Discuss the physical meaning of angular momentum.

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    10. Briefly explain equilibrium of a rigid body. When is a body said to be...

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    11. Obtain an expression for kinetic energy of rotation of a body. Hence d...

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    12. Establish a relation between torque and moment of inertia of a rigid b...

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

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    14. State and explain the principle of conservation of angular momentum. G...

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    15. State and prove theorem of parallel axes.

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    16. State and prove theorem of perpendicular axes.

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    17. Derive an expression for moment of inertia of a thin circular ring abo...

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    18. Obtain an expression for moment of inertia of a uniform circular disc ...

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    19. Discuss rolling without slipping of a cylinder down a rough inclined p...

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    20. Draw analogy between rotational motion and translational motion.

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