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Derive an expression for torque in carte...

Derive an expression for torque in cartesian co-ordinates.

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PRADEEP-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-LONG ANSWER QUESTIONS
  1. Discuss atleast three examples of the motion of centre of mass.

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

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

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

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

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  6. Discuss the physical meaning of angular momentum.

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

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

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

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

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

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  12. State and prove theorem of parallel axes.

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  13. State and prove theorem of perpendicular axes.

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

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

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

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  17. Draw analogy between rotational motion and translational motion.

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  18. Find the centre of mass of a unifrom (a) half-disc,(b) quarter-disc.

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  19. Two discs of moments of inertia I(1) and I(2) about their respective a...

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  20. A disc of radius R is rotating with an angular speed omega(0) about a ...

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