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Find the moment of inertia of a solid sp...


Find the moment of inertia of a solid sphere of mass `M` and radias `R` about an axis XX shown in figure. Also find radius of gyration about the given axis.

Text Solution

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From theorem of parallel axis,
`I_("XX") = I_("COM") + "Mr"^2`
`= 2/5 "MR"^2 + "MR"^2`
` = 7/5 "MR"^2`
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MOTION-ROTATIONAL MOTION -Exercise - 3 ( Section-B )
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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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