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When a sphere of moment of inertia 'I' r...

When a sphere of moment of inertia 'I' rolls down an inclined plane then find the percentage of rotational kinetic energy of the total energy.

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To find the percentage of rotational kinetic energy of the total energy when a sphere rolls down an inclined plane, we can follow these steps: ### Step 1: Understand the Kinetic Energy Components When a sphere rolls down an incline, it has both translational and rotational kinetic energy. The translational kinetic energy (TKE) is given by: \[ \text{TKE} = \frac{1}{2} mv^2 \] where \(m\) is the mass of the sphere and \(v\) is its linear velocity. ...
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MOTION-ROTATIONAL MOTION -Exercise - 3 ( Section-B )
  1. When a sphere of moment of inertia 'I' rolls down an inclined plane th...

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  2. A 'T' shaped object with dimensions shown in the figure, is lying on a...

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  3. The moment of inertia of a uniform semicircular disc of mass M and rad...

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  4. A thin circular ring of mass m and radius R is rotating about its axis...

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  5. Four point masses, each of value m, are placed at the corners of a squ...

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  6. A coin is placed on a horizontal platform which undergoes vertical sim...

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  7. A force of - F hat k on O, the origin of the coordinate system. The to...

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  8. Angular momentum of the particle rotating with a central force is con...

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  9. A round uniform body of radius R, mass M and moment of inertia 'I' rol...

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  10. For the given uniform square lamina ABCD, whose centre is O

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  11. A circular disc of radius R is removed from a bigger circular disc of ...

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  12. Consider a uniform square plate of side 'a' and mass 'm'. The moment o...

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  13. A thin uniform rod of length l and mass m is swinging freely about a h...

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  14. A pulley os radius 2m is rotated about its axis by a force F= (20 t- ...

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  15. A thin horizontal circular disc is roating about a vertical axis passi...

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  16. A hoop of radius r and mass m rotating with an angular velocity omega0...

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  17. A bob of mass m attached to an inextensible string of length I is susp...

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  18. A mass 'm' is supported by a massless string wound around a uniform ho...

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  19. A block of mass is placed on a surface with a vertical cross section g...

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  20. From a solid sphere of M and radius R a cube of maximum possible volu...

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  21. A roller is made by joining together two cones at their vertices O, ti...

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