Home
Class 11
PHYSICS
The moment of inertia of a solid sphere ...

The moment of inertia of a solid sphere of density `rho` and radius R about its diameter is given by :

A

`(176)/(105) rho R^3`

B

`(176)/(105)rhoR^4`

C

`(176)/(105) rhoR^3`

D

`(176)/(105)rhoR^2`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MOTION OF SYSTEM OF PARTICLES AND RIGID BODY

    JBD PUBLICATION|Exercise EXAMPLE|100 Videos
  • MODEL TEST PAPER-06

    JBD PUBLICATION|Exercise EXERCISE|37 Videos
  • Oscillations and Waves

    JBD PUBLICATION|Exercise EXAMPLE|97 Videos

Similar Questions

Explore conceptually related problems

Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be MR^2//4 , find its moment of inertia about an axis normal to the disc and passing through a point on its edge.

How is moment of inertia of a body different from its mass?

Why does a solid sphere have smaller moment of inertia than a hollow cylinder of same mass and radius, about an axis passing through their axes of symmetry?

Show the moment of inertia of a solid abot its diameter is 2/5 MR^2

What is the moment of inertia of a disc about their diameters?

The moment of inertia of a rod about an axis through its centre and perpendicular to its length is ML^2//12 (where M is the mass and L is the lenth of the rod).The rod is bent in the middle so that the two halves make an angle 60^@ .The moment of inertia of the bent rod about the same axis would be :

Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be 2MR^2//5 , where M is the mass of the sphere and R is the radius of the sphere.

Moment of inertia of a sphere about its diameter is 2/5MR^2 . What is the radius of gyratin about that axis?

JBD PUBLICATION-MOTION OF SYSTEM OF PARTICLES AND RIGID BODY-EXAMPLE
  1. The moment of inertia of a solid sphere of density rho and radius R ab...

    Text Solution

    |

  2. A body is rotating, it is necessary being acted upon by an exteral tor...

    Text Solution

    |

  3. What is the position vector of centre of mass of two particles of equa...

    Text Solution

    |

  4. A heavenly body revolves around a massive star in a highly elliptical ...

    Text Solution

    |

  5. Where does centre of mass of a triangular lamina lie?

    Text Solution

    |

  6. Is the angular momentum a scalar quantity ?State its unit.

    Text Solution

    |

  7. What is the direction of angular momentum of a body?

    Text Solution

    |

  8. Is centre of mass a reality?

    Text Solution

    |

  9. Which points on a cylinder rolling over a surface move rectilinearly ?

    Text Solution

    |

  10. A shell fired from a gun explodes into pieces in air .How is the centr...

    Text Solution

    |

  11. A ballet-dancer stretches her hands out for slowing down.What principl...

    Text Solution

    |

  12. Under what conditions angular momentum of a moving body is zero?

    Text Solution

    |

  13. Three identical spheres each of radius R are placed touching each ooth...

    Text Solution

    |

  14. Center of mass of a body always lies at a point, where there is no mas...

    Text Solution

    |

  15. Does the angular momentum of an eletron remain consered when the elect...

    Text Solution

    |

  16. What is an isolated system?

    Text Solution

    |

  17. Define centre of mass.

    Text Solution

    |

  18. What is rotational analogue of mass?

    Text Solution

    |

  19. Is radius of gyration of a body a constant quantity?

    Text Solution

    |

  20. About which axis is moment of inertia of cube minimum?

    Text Solution

    |

  21. Find the expression for moment of inertia of a thin uniform rod abou...

    Text Solution

    |