Home
Class 12
PHYSICS
The diagram shows a uniform disc of mass...

The diagram shows a uniform disc of mass `M` & radius '`a`', if the moment of inertia of the disc about the axis `XY` is `I`, its moment of inertia about an axis through `O` and perpendicular to the plane of the disc is

A

`(4)/(3)Ma^(2)`

B

`I+(1)/(4)Ma^(2)`

C

2I

D

`(I)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

What is the moment of inertia of a disc about one of its diameter?

Find the moment of inertia of ring about an axis passing through the centre and perpendicular to its plane.

A uniform equilateral triangular lamina of side a has mass m. Its moment of inertia about the axis passing through the centroid and perpendicular to the plane of the lamina is :-

A uniform equilateral triangular lamina of side a has mass m. Its moment of inertia about the axis passing through the centroid and prependicular to the plane of the lamina is :-

A semicircular lamina of mass m and radius r and centre C . Its center of mass is at a distance x from C . Its moment of inertia about an axis through its center of mass and perpendicular to its plane is:

The moment of inertia of a uniform semicircular disc of mass M and radius r about a line perpendicular to the plane of the disc through the centre is ………..

Find the moment of inertia of a uniform circular disc about an axis passing through its geometrical centre and perpendicular to its plane and radius of gyration.

What is the moment of inertia of a rod of mass M, length l about an axis perpendicular to it through one end?

There is a thin rod of uniform cross-section of mass M and length L. If this rodis is bent at 90^(@) from the mid-point, then the moment of inertia about the axis passing through mid-point and perpendicular to the plane which includes both parts of rod is .........

ALLEN -TEST PAPER-Exercise (Physics)
  1. Two identical rings each of mass m with their planes mutually perpendi...

    Text Solution

    |

  2. The moment of inertia of a uniform flat disc about its own axis is I. ...

    Text Solution

    |

  3. The diagram shows a uniform disc of mass M & radius 'a', if the moment...

    Text Solution

    |

  4. A tangential force F acts at the top of a thin spherical shell of mass...

    Text Solution

    |

  5. A uniform solid disc of mass 1 kg and radius 1m is kept on a rough hor...

    Text Solution

    |

  6. A rod of mass m and length l is hinged at one of its ends A as shown i...

    Text Solution

    |

  7. A massless rope is wrapped around a ring (with a groove along its circ...

    Text Solution

    |

  8. A uniform disk, a thin hoop (ring), and a uniform sphere, all with the...

    Text Solution

    |

  9. A uniform solid cylindrical roller of mass 'm' is being pulled on a ho...

    Text Solution

    |

  10. A solid cylinder is rolling down the inclined plane without slipping. ...

    Text Solution

    |

  11. In the following figure r(1) and r(2) are 5cm and 30cm repectively. If...

    Text Solution

    |

  12. A small sphere of mass 1 kg is moving with a velocity (6hat(i)+hat(j)...

    Text Solution

    |

  13. A uniform solid sphere of mass M=1 kg and redius R=50 cm is projected ...

    Text Solution

    |

  14. In Fig a sphere of radius 2 m rolls on a plank. The accelerations of t...

    Text Solution

    |

  15. A thin uniform rod AB of mass 1 kg moves translationally with accelera...

    Text Solution

    |

  16. The figure shows an isosceles triangle plate of mass M and base L. T...

    Text Solution

    |

  17. The figure shows an isosceles triangle plate of mass M and base L. T...

    Text Solution

    |

  18. A pulley is connected to the ceiling of an elevator by a massless rod....

    Text Solution

    |

  19. Figure shows the variation of the moment of inertia of a uniform rod, ...

    Text Solution

    |

  20. Four rigid bodies, each with the same mass and radius, are spinning fr...

    Text Solution

    |