Home
Class 12
PHYSICS
The moment of inertia of a cylinder of r...

The moment of inertia of a cylinder of radius R, length L and mass M about an axis passing through its centre of mass and normal to its length is

A

`(ML^(2))/(12)`

B

`(MR^(2))/(4)`

C

`M[(L^(2))/(12)+(R^(2))/(4)]`

D

`M[(L^(2))/(12)+(R^2)/(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

The moment of inertia of a solid cylinder of mass M, length 2R and radius R about an axis passing through the centre of mass and perpendicular to the axis of the cylinder is I_(1) and about an axis passing through one end of the cylinder and perpendicular to the axis of cylinder is I_(2)

Find the moment of inertia of a cylinder of mass M , radius R and length L about an axis passing through its centre and perpendicular to its symmetry axis. Do this by integrating an elemental disc along the length of the cylinder.

The moment of inertia of a solid cylinder of mass M, length 2 R and radius R about an axis passing through the centre of mass and perpendicular to the axis of the cylinder is I, and about an axis passing through one end of the cylinder and perpendicular to the axis of cylinder is I_2 then

Moment of inertia of a cylinder of mass M, length L and radius R about an axis passing through its centre and perpendicular to the axis of the cylinder is I = M ((R^2)/4 + (L^2)/12) . If such a cylinder is to be made for a given mass of a material, the ratio L//R for it to have minimum possible I is :

Calculate the moment of inertia of a disc of radius R and mass M, about an axis passing through its centre and perpendicular to the plane.

Moment of inertia of a uniform rod of length L and mass M , about an axis passing through L//4 from one end and perpendicular to its length is

Moment of inertia of a solid cylinder of length L and diameter D about an axis passing through its centre of gravity and perpendicular to its geometric axis is

Moment of inertia of a uniform quarter disc of radius R and mass M about an axis through its centre of mass and perpendicular to its plane is :

The moment of inertia of a circular disc of radius 2m and mass 1kg about an axis passing through its centre of mass is 2kg-m^(2) .Its moment of inertia about an axis parallel to this axis and passing through its edge in kg-m^(2)) is

TARGET PUBLICATION-ROTATIONAL MOTION -MCQ
  1. The moment of inertia of a circular loop of radius R, at a distance of...

    Text Solution

    |

  2. A solid cylinder of mass M and radius R rolls without slipping on a fl...

    Text Solution

    |

  3. The moment of inertia of a cylinder of radius R, length L and mass M a...

    Text Solution

    |

  4. Three uniform thin rods, each of mass 1 kg and length sqrt3\ m, are pl...

    Text Solution

    |

  5. Two spheres of equal masses, one of which is a thin spheical shelll an...

    Text Solution

    |

  6. Angular momentum of a body is the product of

    Text Solution

    |

  7. Direction of angular momentum of rotating body in vertical plane is

    Text Solution

    |

  8. The relation between the torque tau and angular momentum L of a body o...

    Text Solution

    |

  9. Write SI unit of angular momentum:

    Text Solution

    |

  10. A constant torque acting on a uniform circular wheel changes its angul...

    Text Solution

    |

  11. A uniform stick of length l and mass m lies on a smooth table. It rota...

    Text Solution

    |

  12. The moment of inertia of a uniform circular disc of mass M and radius ...

    Text Solution

    |

  13. The moment of inertia of a body about a given axis is 3.6" kg m"^(2). ...

    Text Solution

    |

  14. Three bodies, a ring, a soild cylinder and a soild sphere roll down th...

    Text Solution

    |

  15. Assertion: A disc rolls without slipping on a horizontal surface and t...

    Text Solution

    |

  16. The diameter of a flywheel is increased by 1% keeping the mass same. I...

    Text Solution

    |

  17. Moment of inertia of the earth about an axis passing through its centr...

    Text Solution

    |

  18. A rigid body is made of three identical thin rods, each of length L fa...

    Text Solution

    |

  19. Of the two eggs which have identical sizes, shapes and weights, one is...

    Text Solution

    |

  20. The moment of inertia of a thin uniform ring of mass I kg about an axi...

    Text Solution

    |