Home
Class 12
PHYSICS
A rod having length L, density D and are...

A rod having length L, density D and area of Cross-section A is rotating about the centre with velocity @ and perpendicular to its length. Its rotational kinetic energy is

A

`1/3 DAL^(3) omega^(2)`

B

`1/(12) DAL^(3) omega^(2)`

C

`1/(24) DAL^(3) omega^(2)`

D

`(1)/(6) DAL^(3) omega^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2019

    TARGET PUBLICATION|Exercise MCQ|45 Videos
  • SEMICONDUCTORS

    TARGET PUBLICATION|Exercise Evaluation Test|17 Videos

Similar Questions

Explore conceptually related problems

A rod of length l, density of material D and area of cross section is A . If it rotates about its axis perpendicular to the length and passing through its centre, then its kinetic energy of rotation will be

A uniform rod of mass m. length L, area of cross- secticn A is rotated about an axis passing through one of its ends and perpendicular to its length with constant angular velocity o in a horizontal plane If Y is the Young's modulus of the material of rod, the increase in its length due to rotation of rod is

A rod of length l is rotated with angular speed omega about an axis passing through the centre of rod and perpendicular to its length. A uniform magnetic field B is applied parallel to the axis of rotation, Potential difference developed between the ends of the rod is

A ring of mass m and radius r rotates about an axis passing through its centre and perpendicular to its plane with angular velocity omega . Its kinetic energy is

Consider a thin uniform rod having length 'L' and mass 'M'. Its moment of inertia about an axis passing through mid-point between centre point and one end and perpendicular to its length is

A steel rod of length L, density d and cross-sectional area A, is hinged at one end so that it can rotate freely in a vertical plane. The rod is released from a horizontal position. When it becomes vertical, the stress at its midpoint is

The radius of gyration of an uniform rod of length L about an axis passing through its centre of mass and perpendicular to its length is.

Circular disc of mass 2 kg and radius 1 m is rotating about an axis perpendicular to its plane and passing through its centre of mass with a rotational kinetic energy of 8 J. The angular momentum is (Js) is

TARGET PUBLICATION-ROTATIONAL MOTION -MCQ
  1. A body of moment of inertia of 3 kg m^(2) rotating with an angular vel...

    Text Solution

    |

  2. Disc is rolling on the horizontal with constant If mass of the disc is...

    Text Solution

    |

  3. A rod having length L, density D and area of Cross-section A is rotati...

    Text Solution

    |

  4. A ring and a disc roll on the horizontal surface without slipping with...

    Text Solution

    |

  5. A solid sphere of mass m and radius R is rotating about its diameter. ...

    Text Solution

    |

  6. Two discs of same moment of inertia rotating their regular axis passin...

    Text Solution

    |

  7. The radius of gyration depends on

    Text Solution

    |

  8. Radius of gyration of a uniform circular disc about an axis passing th...

    Text Solution

    |

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

    Text Solution

    |

  10. Let M be the mass and L be the length of a thin uniform rod. In first ...

    Text Solution

    |

  11. The radius of gyration of a disc of mass 100 g and radius 5 cm about a...

    Text Solution

    |

  12. A uniform disc of mass 2kg is rotated about an axis perpendicular to t...

    Text Solution

    |

  13. Which of the following is not correct?

    Text Solution

    |

  14. A disc is rotating with angular velocity omega. A force F acts at a po...

    Text Solution

    |

  15. The torque acting is 2000 Nm with an angular acceleration of 2rad//s^(...

    Text Solution

    |

  16. A disc of mass 2 kg and diameter 2 m is performing rotational motion. ...

    Text Solution

    |

  17. When 'W' joule of work is done on a flywheel, its frequency of rotatio...

    Text Solution

    |

  18. A flywheel of moment of inertia 3 xx 10^(2) kg m^(2) is rotating with ...

    Text Solution

    |

  19. A string is wound round the rim of a mounted flywheel of mass 20 kg an...

    Text Solution

    |

  20. A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm...

    Text Solution

    |