Home
Class 11
PHYSICS
Moment of inertia of a uniform rod of ma...

Moment of inertia of a uniform rod of mass `m` and length `l` is `(7)/(12)ml^(2)` about a line perpendicular to the rod. Find the distance of this line from the middle point of the rod.

Text Solution

Verified by Experts

`(7)/(12)ml^(2)=(ml^(2))/(12)+mr^(2)`
`thereforer=(l)/(sqrt(2))`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Level 2 Single Correct|26 Videos
  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Level 2 Multiple Correct|36 Videos
  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Level 1 Objective|30 Videos
  • ROTATION

    DC PANDEY|Exercise (C) Chapter Exercises|39 Videos
  • ROTATIONAL MOTION

    DC PANDEY|Exercise Integer Type Questions|17 Videos

Similar Questions

Explore conceptually related problems

the moment of inertia ofa uniform rod of mass 0.50 kg and length 1 m is 0.10 kg m^2 about a lline perpendicular to the rod. Find the distance of this line from the middle point of the rod.

The moment of inertia of a uniform rod of mass m = 0.50 kg and length I=1m is I=0.10 kg-m^(2) about a line perpendicular to the rod. The distance of this line from the middle point of the rod is sqrt(a/b)m rod where a and b are coprime. Find a + b

The moment of inertia of a thin rod of mass M and length L about an axis perpendicular to the rod at a distance L/4 from one end is

The moment of inertia of a thin uniform rod of mass M and length L about an axis perpendicular to the rod, through its centre is I . The moment of inertia of the rod about an axis perpendicular to rod through its end point is

The radius of gyration of a uniform rod of mass m and length l about an axis perpendicular to its length and at distance l/4 from its one end will be

The moment of inertia of a straight thin rod of mass M and length l about an axis perpendicular to its length and passing through its one end, is

DC PANDEY-ROTATIONAL MECHANICS-Level 1 Subjective
  1. The radius of gyration of a uniform disc about a line perpendicular to...

    Text Solution

    |

  2. Find the moment of inertia of a uniform square plate of mass M and edg...

    Text Solution

    |

  3. Moment of inertia of a uniform rod of mass m and length l is (7)/(12)m...

    Text Solution

    |

  4. Two point masses m(1) and m(2) are joined by a weightless rod of lengt...

    Text Solution

    |

  5. Radius of gyration of a body about an axis at a distance 6 cm from its...

    Text Solution

    |

  6. A wheel rotates around a stationary axis so that the rotation angle th...

    Text Solution

    |

  7. Particle P shown in figure is moving in a circle of radius R=10 cm wit...

    Text Solution

    |

  8. A particle of mass m is projected from the ground with an initial spee...

    Text Solution

    |

  9. Linear mss density (mass/length) of a rod depends on the distanec from...

    Text Solution

    |

  10. When a body rolls, on a stationary ground, the acceleration of the poi...

    Text Solution

    |

  11. A solid sphere of mass m rolls down an inclined plane a height h. Find...

    Text Solution

    |

  12. The topmost and bottommost velocities of a disc are v(1) and v(2)(ltv(...

    Text Solution

    |

  13. A circular lamina of radius a and centre O has a mass per unit area of...

    Text Solution

    |

  14. A solid body starts rotating about a stationary axis with an angular a...

    Text Solution

    |

  15. A ring of radius R rolls on a horizontal ground with linear speed v an...

    Text Solution

    |

  16. Two forces F(1) and F(2) are applied on a spool of mass M and moment o...

    Text Solution

    |

  17. A disc is placed on the ground. Friction coefficient is mu. What is th...

    Text Solution

    |

  18. A cube is resting on an inclinded plane. If the angle of inclination i...

    Text Solution

    |

  19. A uniform disc of mass 20 kg and radius 0.5 m can turn about a smooth ...

    Text Solution

    |

  20. A uniform disc of mass m and radius R I rotated about an axis passing ...

    Text Solution

    |