Home
Class 11
PHYSICS
Find the moment of inertia of a solid sp...


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

Text Solution

Verified by Experts

From theorem of parallel axes, the moment of inertia of solid sphere of mass is
.
`I_(XX')=I_(CM)+MR^(2)`
`=(2)/(5)MR^(2)+MR^(2)=(7)/(5)MR^(2)=(7)/(5)(5)(2)^(2)=28 "kg-m"^(2)`.
Promotional Banner

Topper's Solved these Questions

  • ROTATION

    DC PANDEY ENGLISH|Exercise Check point 9.1|20 Videos
  • ROTATION

    DC PANDEY ENGLISH|Exercise Check point 9.2|20 Videos
  • RAY OPTICS

    DC PANDEY ENGLISH|Exercise Integer type q.|14 Videos
  • ROTATIONAL MECHANICS

    DC PANDEY ENGLISH|Exercise Subjective Questions|2 Videos

Similar Questions

Explore conceptually related problems

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.

The moment of inertia of a cylinder of mass 1000gm and radius 20cm about the axis AB shown in figure is

Find the moment of inertia of a uniform ring of mass M and radius R about a diameter.

The moment of inertia of a ring of mass M and radius R about PQ axis will be

What is the moment of inertia of a solid sphere of density rho and radius R about its diameter ?

What is the moment of inertia of solid sphere of density rho and radius R about its diameter ?

Find the moment of inertia of a uniform sphere of mass m and radius R about a tangent if the spheres (1) solid (ii) hollow?

The moment of inertia of a hoop of radius R and mass M, about any tangent

Match the Moment of inertia of a solid cylinder of mass m, radius R and length l along various axis as shown in figure.

Find the moment of inertia of a solid cylinder of mass M and radius R about a line parallel to the axis of the cylinder and on the surface of the cylinder.

DC PANDEY ENGLISH-ROTATION-(C) Chapter Exercises
  1. Find the moment of inertia of a solid sphere of mass M and radius R ab...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Choose the wrong statement.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |