Home
Class 11
PHYSICS
A circular disc is of mass M and radius ...

A circular disc is of mass M and radius r. From it a circualr piece is cut out with a radius of the disc as its diameter. Find the moment of inertia of the remainder about the axix of the disc

Text Solution

Verified by Experts

The correct Answer is:
13/32 `Mr^(2)`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL DYNAMICS, MOMENT OF INERTIA

    NN GHOSH|Exercise Exercises|42 Videos
  • MOMENT, TORQUE, EQUILIBRIUM OF BODIES

    NN GHOSH|Exercise Exercises|33 Videos
  • SATURATED AND UNSATURATED VAPOUR

    NN GHOSH|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

A circular disc of mass M and radius R is suspended from a nail in the wall. The nail is fixed very near to the rim of the disc. The moment of inertia of the disc about an axis along the nail is

A thin disc of mass 9M and radius R from which a disc of radius R/3 is cut shown in figure. Then moment of inertia of the remaining disc about O, perpendicular to the plane of disc is -

A uniform circular disc has a sector of angle 90^(@) removed from it. Mass of the remaining disc is M. Write the moment of inertia of the remaining disc about the axis x x shown in figure (Radius is R)

For a disc of given density and thickness, its moment of inertia varies with radius of the disc as :

Given a uniform disc of mass M and radius R . A small disc of radius R//2 is cut from this disc in such a way that the distance between the centres of the two discs is R//2 . Find the moment of inertia of the remaining disc about a diameter of the original disc perpendicular to the line connecting the centres of the two discs

A circular hole of radius r//2 is cut from a circular disc of radius 'r' . The disc lies in the xy plane. Determine the moment of inertia about an axis passing through the centre and perpendicular to the plane of the disc.

From a disc of radius R and mass m, a circular hole of diamter R, whose rim passes through the centre is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis, passing through the centre?

NN GHOSH-ROTATIONAL DYNAMICS, MOMENT OF INERTIA-Exercises
  1. A thin uniform rod of mass m and length l, pivoted freely at its base,...

    Text Solution

    |

  2. What must be the relation between length and radius of a cylinder of g...

    Text Solution

    |

  3. A circular disc is of mass M and radius r. From it a circualr piece is...

    Text Solution

    |

  4. A string is wrapped around a cylinder of mass M and radius r. The stri...

    Text Solution

    |

  5. A small sphere of mass m and radius r rolls without slipping on the in...

    Text Solution

    |

  6. A billiard ball is struck by a cue when it starts moving with velocity...

    Text Solution

    |

  7. a) Explain why the cushion of a billard table is made to receive the i...

    Text Solution

    |

  8. A right circular cylinder of radius r and mass m is suspended by a cor...

    Text Solution

    |

  9. The mass of the earth is increasing at the rate 1 part in 5 xx 20^(19)...

    Text Solution

    |

  10. A meter stick of length l and mass M lies on a frictionlesss table. Th...

    Text Solution

    |

  11. A long light thread is wond partly around cylinder of radius r and mas...

    Text Solution

    |

  12. A tim,ber of mas m rests on two rollers, each of mass m/2 and radius r...

    Text Solution

    |

  13. Show that in order to get a billiard ball to roll without sliding from...

    Text Solution

    |

  14. Two masses 500 g and 460g are suspended from the ends of a light strin...

    Text Solution

    |

  15. A solid cylinder of weight 20 kg and radius 7.5 cm is placed on a incl...

    Text Solution

    |

  16. A point A is located on the rim of a wheel of radius R which rolls wit...

    Text Solution

    |

  17. A plank of mass m(1) with a sphere of mass m(2) on it rests on a smoot...

    Text Solution

    |

  18. If in the loop-the-loop track of figure a small spherical ball of mass...

    Text Solution

    |

  19. A uniform rod of length 2a is held at inclination alpha with the horiz...

    Text Solution

    |

  20. An experimentor stands on a stool capable of rotating about a vertical...

    Text Solution

    |