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Obtain the expression for angular moment...

Obtain the expression for angular momentum of a particle moving in XY-plane from the expression for the torque `tau = xF_y - yF_x` acting on it. How does it lead to define angular momentum of a particle as the product of its linear momentum and perpendicular distance from the axis of rotation

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MODERN PUBLICATION-Rotational Motion-Exercise
  1. Derive expression for torque in cartesian co-ordinate system.

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  2. Derive expression for the torque acting on a system of n-particles

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  3. Obtain the expression for angular momentum of a particle moving in XY-...

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  4. Derrive expression for the angular momentum of a system in cartesian c...

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  5. Derive an expression for rotational kinetic energy and hence define mo...

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  6. Prove that the time rate of change of the angular momentum of a partic...

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  7. Derive a relation between angular momentum and torque.

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  8. Define angular momentum. What are its units ? Establish the relation b...

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  9. Define torque and the angular momentum. Show that vec tau = (d vecL)/(...

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  10. Obtain the relation between the torque and the angular momentum.

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  11. Derive the relation between the torque and the angular momentum. Hence...

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  12. State and prove the principle of momentum.

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  13. State and explain the law of conservation of angular momentum.

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  14. State law of conservation of angular momentum. Illustrate it with the ...

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  15. State the law of conservation of angular momentum.

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  16. Why angular speed of rotation of earth around the sun the increases, w...

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  17. Define angular momentum. Prove that angular momentum of a particle is ...

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  18. Deduce Kepler's second law of planetary motion from the law of conserv...

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  19. Explain the vector product of two vectors

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  20. Show by example that the vector product does not obey commutative law

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