Home
Class 11
PHYSICS
A thin rod of mass 6 m and length 6L is ...

A thin rod of mass `6 m` and length `6L` is bent into regular hexagon. The `M.I.` of the hexagon about a normal axis to plane and through centre of system is

A

`ml^(2)`

B

`3mL^(2)`

C

`5mL^(2)`

D

`11 mL^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C

`I_(rod)=(ml^(2))/12+m((sqrt(3))/2l)^(2), I_("system")=6I_(rod)`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level-V|72 Videos
  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level-VI|78 Videos
  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level -I(H.W)|58 Videos
  • PHYSICAL WORLD

    NARAYNA|Exercise C.U.Q|10 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - IV|39 Videos

Similar Questions

Explore conceptually related problems

A uniform thin bar of mass 6 m and length 12 L is bend to make a regular hexagon. Its moment of inertia about an axis passing through the centre of mass and perpendicular to the plane of the hexagon is :

A uniform thin bar of mass 6 kg and length 2.4 meter is bent to make an equilateral hexagon. The moment of inertia about an axis passing through the centre of mass and perpendicular to the plane of hexagon is _____ xx 10^(-1) kg m^2

A thin rod of mass M and length L is bent into a circular ring. The expression for moment of inertia of ring about an axis passing through its diameter is

A thin wire of mass m and length l is bent in the form of a ring . Moment of inertia of that ring about an axis passing through its centre and perpendicular to its through its centre and perpendicular to its plane is

A rod of mass M and length L is bent to form a semicircle. The MOI about an axis perpendicular to plane of semicircle about its center is

Consider a uniform rod of mas M and length L. It is bent into a semicircle. Its moment of inertia about a line perpendicular to the plane wire passing through the centre is

A thin uniform wire of mass m and length l is bent into to shape of a semicircle. The moment of inertia of that wire about an axis passing through its free ends is

A rod of mass M, length L is bent in the form of hexagon. Then MOI about axis passing through geometric centre and perpendicular to plane of body will be

NARAYNA-SYSTEM OF PARTICLES-Level -II(H.W)
  1. M.I. of a uniform horizontal solid cylinder of mass M about an axis pa...

    Text Solution

    |

  2. A circular disc of radius R and thickness R//6 has moment of inertia I...

    Text Solution

    |

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

    Text Solution

    |

  4. A thin rod of mass 6 m and length 6L is bent into regular hexagon. The...

    Text Solution

    |

  5. If I(1) is moment of inertia of a thin rod about an axis perpendicular...

    Text Solution

    |

  6. The moment of inertia of thin rod of linear density lambda and length ...

    Text Solution

    |

  7. Moment of inertia of a bar magnet of mass M,length L and breadth B is...

    Text Solution

    |

  8. A circular disc is rotating without friction about its natural axis wi...

    Text Solution

    |

  9. A ballot dancer is rotating about his own vertical axis on smooth hori...

    Text Solution

    |

  10. A particle of mass 1 kg is moving alogn the line y=x+2 with speed 2m//...

    Text Solution

    |

  11. A uniform metal rod of length L and mass M is rotating about an axis p...

    Text Solution

    |

  12. A fly wheel of M.I. 6xx10^(-2) kgm^(2) is rotating with an angular vel...

    Text Solution

    |

  13. When 200 J of work is done on a fly wheel its frequency of rotation in...

    Text Solution

    |

  14. The moment of inertia of a wheel of radius 20 cm is 40 kgm^(2) if a ta...

    Text Solution

    |

  15. An initial momentum is imparted to a homogenous cylinder, as a results...

    Text Solution

    |

  16. A solid cylinder starts rolling down on an inclined plane from its top...

    Text Solution

    |

  17. A wheel of radius 0.2 m rolls without slip ping with a speed 10 m//s o...

    Text Solution

    |

  18. A thin metal rod of length 0.5 m is vertically straight on horizontal ...

    Text Solution

    |

  19. What is the minimum value of coefficient of friction between the cylin...

    Text Solution

    |

  20. A thin metal disc of radius 0.25m and mass 2kg starts from rest and ro...

    Text Solution

    |