Home
Class 11
PHYSICS
A uniform rod of mass m and length l mak...

A uniform rod of mass m and length l makes a constant angle `theta` with an axis of rotation which passes through one end of the rod. Its moment of inertia about this axis is

A

`(ml^(2))/(3)`

B

`(ml^(2))/(3) sin theta`

C

`(ml^(2))/(3) sin^(2) theta`

D

`(ml^(2))/(3) cos^(2) theta`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RIGID BODIES AND ROTATIONAL MOTION

    PHYSICS GALAXY - ASHISH ARORA|Exercise paragraph|24 Videos

  • RIGID BODIES AND ROTATIONAL MOTION

    PHYSICS GALAXY - ASHISH ARORA|Exercise MCQ|16 Videos

  • RIGID BODIES AND ROTATIONAL MOTION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Conceptual MCQs Single Option Correct|39 Videos

  • NEWTONS LAWS OF MOTION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Problem|81 Videos

  • WORK, ENERGY AND POWER

    PHYSICS GALAXY - ASHISH ARORA|Exercise unsolved|1 Videos

Similar Questions

Explore conceptually related problems

A uniform rod of mass m and length l is rotating with constant angular velocity omega about an axis which passes thorugh its one end and perpendicular to the length of rod. The area of cross section of the rod is A and its Young's modulus is y. Neglect gravity. The strain at the mid point of the rod is:

A uniform rod AB of mass m and length L rotates about a fixed vertical axis making a constant angle theta with it as shown in figure. The rod is rotated about this axis, so that point B the free end of the rod moves with a uniform speed V in the horizontal plane then the angular momentum of the rod about the axis is:

A uniform rod of mass m and length l rotates in a horizontal plane with an angular velocity omega about a vertical axis passing through one end. The tension in the rod at a distance x from the axis is

A uniform rod of mass m and length l_(0) is rotating with a constant angular speed omega about a vertical axis passing through its point of suspension. Find the moment of inertia of the rod about the axis of rotation if it make an angle theta to the vertical (axis of rotation).

The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its mid-point and perpendicular to its length is I_0 . Its moment of inertia about an axis passing through one of its ends perpendicular to its length is.

A uniform rod of mass m and length L is fixed to an axis, making an angle theta with it as shown in the figure. The rod is rotated about this axis so that the free end of the rod moves with a uniform speed ‘v’. Find the angular momentum of the rod about the axis. Is the angular momentum of the rod about point A constant?

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

PHYSICS GALAXY - ASHISH ARORA-RIGID BODIES AND ROTATIONAL MOTION-Numerical MCQs Single Option Corrrect
  1. A body is uniformly rotating bout an axis fixed in an inertial frame o...

    Text Solution

    |

  2. The moment of inertia of a uniform semicircularwire of mass M and radi...

    Text Solution

    |

  3. A uniform rod of mass m and length l makes a constant angle theta with...

    Text Solution

    |

  4. A particle of mass m and charge Q is attached to a string of length l...

    Text Solution

    |

  5. A particle is attached by a light string of length 3 a to a fixed poin...

    Text Solution

    |

  6. A uniform circular disc placed on a horizontal rough surface has initi...

    Text Solution

    |

  7. A cubical block of mass M and edge a slides down a rougg inclined plan...

    Text Solution

    |

  8. A hoop ofradius r weights m kg. It rolls-without sliding along a horiz...

    Text Solution

    |

  9. A uniform rod AB of length l rotating with an angular velocity omega w...

    Text Solution

    |

  10. A homogeneous cylinder of mass Mand radius r is pulled on a horizontal...

    Text Solution

    |

  11. A disc of mass m(0) rotates freely about a fixed horizontal axis throu...

    Text Solution

    |

  12. A particle of mass m is projected with a velocity mu at an angle of th...

    Text Solution

    |

  13. A ody is in pure rotation. The linear speed v of a particle, the dista...

    Text Solution

    |

  14. One end of a uniform rod of mas m and length l is clamped. The rod lie...

    Text Solution

    |

  15. A man pushes a cylindrical drum through a board of length l as shownin...

    Text Solution

    |

  16. A smooth uniform rod of length L and mass M has two identical beads of...

    Text Solution

    |

  17. A sphere and circular disc of same mass and radius are allowed to roll...

    Text Solution

    |

  18. A uniform disc of mass M =2.50 kg and radius R = 0.20 m is mounted on ...

    Text Solution

    |

  19. Two identical discs are moving with the same kinetic energy. One rolls...

    Text Solution

    |

  20. A bit of mud stuck to a bicycle's front wheel of radius r detaches and...

    Text Solution

    |