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A solid sphere of mass 10 kg and radius 0.5 m is rolling on a road without sliding with an regular velocity of 12 rad/s. What is the percentage of rotational kinetic energy in the total kinetic energy of the wheel?

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To solve the problem, we need to find the percentage of rotational kinetic energy in the total kinetic energy of a solid sphere that is rolling without slipping. We will follow these steps: ### Step 1: Calculate the Moment of Inertia (I) The moment of inertia \( I \) for a solid sphere about its center of mass is given by the formula: \[ I = \frac{2}{5} m r^2 \] Where: ...
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MODERN PUBLICATION-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-Chapter Practice Test (for Board Examination)
  1. A solid sphere of mass 10 kg and radius 0.5 m is rolling on a road wit...

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  2. Can centre of mass of a body lie where there is absolutely no mass ?

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  3. Which component of linear momentum does not contribute to angular mome...

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  4. Can a body moving in a circular path be at equilibrium?

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  5. Does the moment of inertia of a body change with the speed of rotatio...

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  6. Two lenses, one convex and other concave, are of same mass and same ra...

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  7. Why the handles of the doors are at maximum distance from the hinges?

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  8. State and explain parallel axis theorem and perpendicular axis theorem...

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  9. If earth were to shrink suddenly, what would happen to the length of t...

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  10. The angular momenta of two bodies X and Y are equal and moment of iner...

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  11. (i) A person sits near the edge of a circular platform revolving with ...

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  12. Show that the angular momentum of a particle is equal to twice the pro...

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

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  14. Write the relation between electric power (W ) of a device with potent...

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  16. The speed of the motor of an engine is 300 rpm. In 2 s, the speed incr...

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  17. Derive an expression for the acceleration of a solid cylinder rolling ...

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