Home
Class 11
PHYSICS
Show that the moment of inertia of a bod...

Show that the moment of inertia of a body about the given axis of rotation is equal to twice the kinetic energy of rotation of the body rotating with unit angular velocity

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • System of particles & rotational Motion

    SL ARORA|Exercise EXERCISE|353 Videos
  • ROTATIONAL MOTION

    SL ARORA|Exercise Problem for self practice|90 Videos
  • Thermal Properties of Matter

    SL ARORA|Exercise Exercise|449 Videos

Similar Questions

Explore conceptually related problems

The moment of inertia of a body about a given axis of rotation depends upon :-

Does the moment of inertia of a rigid body change with the axis of rotation?

Moment of inertia of rigid body is equal to _______ the rotational kinetic energy of the body rotating with unit angular velocity about the given axis.

A body of moment of inertia 0.5 kg m^(2) is rotating about a given axis at the rate 1 rps . What is kinetic energy of rotation of the body about that axis ?

Two bodies have their moments of inertia I and 2 I respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the ratio.

SL ARORA-System of particles & rotational Motion-EXERCISE
  1. Define angular momentum. Prove that angular momentum of a particle is ...

    Text Solution

    |

  2. Establish a relation between angular momentum and moment of inertia of...

    Text Solution

    |

  3. Show that the moment of inertia of a body about the given axis of rota...

    Text Solution

    |

  4. Obtain an expression for kinetic energy of rotation of a body. Hence d...

    Text Solution

    |

  5. Derive an expression for moment of inertia of a thin circular ring abo...

    Text Solution

    |

  6. Moment of inertia of a hollow cylinder of mass M and radius R, about t...

    Text Solution

    |

  7. Thye angular momentum and the moment of inertia are respectively

    Text Solution

    |

  8. Derive an expression for moment of inertia of a thin circular ring abo...

    Text Solution

    |

  9. Acceleration of a solid cylinder rolling without slipping down an incl...

    Text Solution

    |

  10. The centre of mass of two particles system lies

    Text Solution

    |

  11. Define and explain the term acceleration . Derive the velocity-time re...

    Text Solution

    |

  12. Define and explain the term acceleration . Derive the velocity-time re...

    Text Solution

    |

  13. What do you understand by areal velocity of a planet ? State kepler's...

    Text Solution

    |

  14. S.T. the time rate of the total angular momentum of a system of partic...

    Text Solution

    |

  15. When a rigid body is in motion, few particles of the body remain at re...

    Text Solution

    |

  16. Derive an expression for moment of inertia of a thin circular ring abo...

    Text Solution

    |

  17. Derive an expression for moment of inertia of a thin circular ring abo...

    Text Solution

    |

  18. Derive an expression for moment of inertia of a thin circular ring abo...

    Text Solution

    |

  19. The moment of inertia of a Thin rod about and axis passing through the...

    Text Solution

    |

  20. State the expression for the moment of inertia of a solid cylinder of ...

    Text Solution

    |