Home
Class 11
PHYSICS
A wire of mass m and length l is bent in...

A wire of mass m and length l is bent in the form of circular ring. The moment of inertia of the ring about its axis is

A

`ml^2`

B

`ml^2/(2pi^2)`

C

`ml^2/(4pi^2)`

D

`ml^2/(8pi^2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Moment of Inertia

    MODERN PUBLICATION|Exercise Example|323 Videos
  • Gravitational potential and potential energy

    MODERN PUBLICATION|Exercise Exercise|17 Videos
  • Motion of Satellites

    MODERN PUBLICATION|Exercise Exercise|25 Videos

Similar Questions

Explore conceptually related problems

What is the moment of inertia of a ring

Two uiform identical rods AB and CD each of mass M and length L are joined to form a cross as a shown in fig.find the moment of inertia of the cross about a bisector as shown dotted in the figure. .

Three thin metal rods,each of mas M and length dL,are welded to form an equilateral triangle.The moment of inertia of the composite structure about an axis passing through the centre of mas of the structure and perpendicualr to its plane is :

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

About which axis is moment of inertia of cube minimum?

A closed tube, partly filled with a liqyid and set horizontal, is rotated about a vertical axis passing through its centre. IN the process, the moment of inertia of the system about its axis would

A circular coil of 16 turns and radius 10 cm carrying a current of 0.75 A rests with its plane normal to an external field of magnitude 5.0 xx 10^-2 T. The coil is free to turn about an axis in its plane perpendicular to the field direction. When the coil is turned slightly and released, it oscillates about its stable equilibrium with a frequency of 2.0 s^-1 . What is the moment of inertia of the coil about its axis of rotation?

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 :

A solid cylinder has mass M ,length L and radius R.The moment of inertia of this cylinder abot a gerator is :

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.

MODERN PUBLICATION-Moment of Inertia-Example
  1. The angular speed of a body changes from omega1 to omega2 without appl...

    Text Solution

    |

  2. The moment of inertia of a rod about an axis through its centre and pe...

    Text Solution

    |

  3. A wire of mass m and length l is bent in the form of circular ring. Th...

    Text Solution

    |

  4. A solid sphere is rolling on a frictionless plane surface about its ax...

    Text Solution

    |

  5. if the earth is treated as a sphere of radius Radn mass M, Its angular...

    Text Solution

    |

  6. Assertion: The position of the centre of mass of a body depends upon e...

    Text Solution

    |

  7. Prove that the centre of mass of two particles divides the line joinin...

    Text Solution

    |

  8. Should the centre of mass of a body necessarily lie inside the body?

    Text Solution

    |

  9. Assertion: The rate of change of angular momentum is directly proporti...

    Text Solution

    |

  10. Assertion: The torque due to a force always acts perpendicular to the ...

    Text Solution

    |

  11. Assertion: A judo fighter in order to throw his opponent on to the mat...

    Text Solution

    |

  12. Assertion: The angular momentum of a body always acts perpendicular to...

    Text Solution

    |

  13. Assertion : For a system of particles under central force field the to...

    Text Solution

    |

  14. Assertion: A helicopter must necessarily have two propellers. Reason ...

    Text Solution

    |

  15. Assertion : Moment of inertia of a body depends on its mass and size o...

    Text Solution

    |

  16. Assertion : Moment of inertia of a body depends on the manner, in whic...

    Text Solution

    |

  17. Assertion: When a sphere slips down an inclined plane, its kinetic ene...

    Text Solution

    |

  18. Assertion: When a sphere slips down an inclined plane, its kinetic ene...

    Text Solution

    |

  19. Assertion: The velocity of a body at the bottom of an inclined plane o...

    Text Solution

    |

  20. Assertion: There are very small sporadic changes in the period of rota...

    Text Solution

    |