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When a body is under pure rolling, the f...

When a body is under pure rolling, the fraction of its total kinetic energy which is the purely rotational is 2/5. Identify the body.

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To solve the problem, we need to identify the body based on the given information about its kinetic energy during pure rolling. Here's a step-by-step breakdown of the solution: ### Step 1: Understand the Total Kinetic Energy The total kinetic energy (K.E.) of a rolling body is the sum of its translational kinetic energy and rotational kinetic energy. The formulas for these are: - Translational K.E. = \( \frac{1}{2} m v_{\text{cm}}^2 \) - Rotational K.E. = \( \frac{1}{2} I \omega^2 \) ### Step 2: Set Up the Equation ...
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DC PANDEY ENGLISH-ROTATION-(C) Chapter Exercises
  1. When a body is under pure rolling, the fraction of its total kinetic e...

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  2. A wheel of radius 10 cm can rotate freely about its centre as shown in...

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  3. Two uniform spheres A (Hollow) and B (solid) of same radius R (<r/2) a...

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  4. A disc and a solid sphere of same radius but different masses roll off...

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  5. A uniform circular disc of radius 50 cm at rest is free to turn about ...

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  6. A mass m moves in a circles on a smooth horizontal plane with velocity...

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  7. Three idential spherical shells each of mass m and radius r are placed...

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  8. <img src="https://d10lpgp6xz60nq.cloudfront.net/physicsimages/BMSDPP01...

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  9. <img src="https://d10lpgp6xz60nq.cloudfront.net/physicsimages/BMSDPP01...

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  10. A particle travels in a circle of radius 20 cm at a uniformly increasi...

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  11. A solid sphere of radius r is rolling on a horizontal surface. The rat...

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  12. If two circular discs A and B are of same mass but of radii r and 2r r...

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  13. Choose the wrong statement.

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  14. Two particle A and B are moving as shown in the figure Their tota...

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  15. A rod of mass 5 kg is connected to the string at point B. The span of ...

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  16. <img src="https://d10lpgp6xz60nq.cloudfront.net/physicsimages/BMSDPP01...

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  17. A ring of radius 0.5 m and mass 10 kg is rotating about its diameter w...

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  18. A uniform sphere of mass 500 g rolls without slipping on a plane surfa...

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  19. A rotating wheel changes angular speed from 1800 rpm to 3000 rpm in 20...

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  20. The moment of inertia of ring about an axis passing through its diamet...

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  21. Two bodies have their moments of inertia I and 2I, respectively about ...

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