Home
Class 12
PHYSICS
A thin rod of length L and mass M is ben...

A thin rod of length `L` and mass `M` is bent at its midpoint into two halves so that the angle between them is `90^@`. The moment of inertia of the bent rod about an axis passing through the bending point and perpendicular to the plane defined by the two halves of the rod is.

A

`(ML^2)/(24)`

B

`(ML^2)/12`

C

`(ML^2)/6`

D

`(sqrt2 ML^2)/24`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    MOTION|Exercise Exercise - 3 ( Section-B )|24 Videos
  • ROTATIONAL MOTION

    MOTION|Exercise Exercise - 2|40 Videos
  • RAY OPTICS

    MOTION|Exercise Exercise-4|38 Videos
  • SEMI CONDUCTOR AND LOGIC GATES

    MOTION|Exercise EXERCISE 3|34 Videos

Similar Questions

Explore conceptually related problems

A thin rod of length L of mass M is bent at the middle point O at an angle of 60^@ . The moment of inertia of the rod about an axis passing through O and perpendicular to the plane of the rod will be

The moment of inertia of thin rod of linear density lambda and length l about an axis passing through one end and perpendicular to its length is

A uniform rod of mass m is bent into the form of a semicircle of radius R. The moment of inertia of the rod about an axis passing through A and perpendicular to the plane of the paper is

A thin rod of length 4l, mass 4 m is bent at the point as shown in the figure. What is the moment of inertia of the rod about the axis passing through O and perpendicular to the plane of the paper?

Two rods each of mass m and length 1 are joined at the centre to form a cross. The moment of inertia of this cross about an axis passing through the common centre of the rods and perpendicular to the plane formed by them, is :

MOTION-ROTATIONAL MOTION -Exercise - 3 ( Section-A )
  1. Three rings, each of mass P and radius Q are arranged as shown in the ...

    Text Solution

    |

  2. For the given uniform square lamina ABCD, whose centre is O

    Text Solution

    |

  3. A thin rod of length L and mass M is bent at its midpoint into two hal...

    Text Solution

    |

  4. The ratio of the radii of gyration of a circular disc to that of a cir...

    Text Solution

    |

  5. Assertion: The velocity of a body at the bottom of an inclind plane of...

    Text Solution

    |

  6. Four identical thin rods each of mass M and length l3, form a square f...

    Text Solution

    |

  7. A thin circular ring of mass M and radius R is rotating in a horizonta...

    Text Solution

    |

  8. If is the force acting on a particle having position vector and be the...

    Text Solution

    |

  9. A circular disc of moment of inertia I(t) is rotating in a horizontal...

    Text Solution

    |

  10. A thin circular ring of mass m and radius R is rotating about its axis...

    Text Solution

    |

  11. From a circular disc of radius R and mass 9 M , a small disc of radius...

    Text Solution

    |

  12. A solid cylinder and a hollow cylinder, both of the same mass and same...

    Text Solution

    |

  13. The moment of inertia of a thin uniform rod of mass M and length L abo...

    Text Solution

    |

  14. The instantaneous angular position of a point on a rotating wheel is g...

    Text Solution

    |

  15. A small mass attached to a string rotates on a frictionless table top ...

    Text Solution

    |

  16. The instantaneous angular position of a point on a rotating wheel is g...

    Text Solution

    |

  17. Two persons of masses 55 kg and 65 kg respectively are at the opposite...

    Text Solution

    |

  18. O is the centre of an equilateral triangle ABC. F(1), F(2) and F(3) ar...

    Text Solution

    |

  19. When a mass is rotating in a plane about a fixed point, its angular mo...

    Text Solution

    |

  20. The moment of inertia of a uniform circular disc is maximum about an a...

    Text Solution

    |