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Torques of equal magnitude are applied t...

Torques of equal magnitude are applied to a hollow cylinder and a solid sphere, both having the same mass and radius. The cylinder is free to rotate about its standard axis of symmetry, and the sphere is free to rotate about an axis passing through its centre. Which of the two will acquire a greater angular speed after a given time.

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NCERT GUJARATI-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-EXERCISES
  1. A car weights 1800 kg. The distance between its front and back axles i...

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  2. (a) Find the moment of inertia of a sphere about a tangent to the sphe...

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  3. Torques of equal magnitude are applied to a hollow cylinder and a soli...

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  4. A solid cylinder of mass 20 kg rotates about its axis with angular spe...

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  5. (a) A child stands at the centre of a turntable with his two arms outs...

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  6. A rope of negligible mass is wound round a hollow cylinder of mass 3 k...

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  7. To maintain a rotor at a uniform angular speed of 200 rad s-1, an engi...

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  8. From a uniform disk of radius R, a circular hole of radius R/2 is cut ...

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  9. A metre stick is balanced on a knife edge at its centre. When two coin...

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  10. A solid sphere rolls down two different inclined planes of the same he...

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  11. A hoop of radius 2 m weighs 100 kg. It rolls along a horizontal floor ...

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  12. The oxygen molecule has a mass of 5.30 × 10^(-26) kg and a moment of i...

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  13. A solid cylinder rolls up an inclined plane of angle of inclination 30...

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  14. As shown in Fig.7.40, the two sides of a step ladder BA and CA are 1.6...

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  15. A man stands on a rotating platform, with his arms stretched horizonta...

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  16. A bullet of mass 10 g and speed 500 m/s is fired into a door and gets ...

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

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  18. (a) Prove the theorem of perpendicular axes. (b) Prove the theorem o...

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  19. Prove the result that the velocity v of translation of a rolling body ...

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  20. A disc rotating about its axis with angular speed ω(o) is placed light...

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