Home
Class 11
PHYSICS
Calculate the moment of Inertia of a sem...

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

A

`(1)/(4) mr^(2)`

B

`(1)/(2)mr^(2)`

C

`(1)/(8)mr^(2)`

D

`mr^(2)`

Text Solution

Verified by Experts

Note that mass of the semicircular disc is m. So expression of moment of inertia remains same as that for complete disc of mass m. Hence option (6) is correct.
Promotional Banner

Topper's Solved these Questions

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    MODERN PUBLICATION|Exercise COMPETITION FILE ( OBJECTIVE TYPE QUESTIONS (JEE (Main) & Other State Boards for Engineering Entrance) )|48 Videos

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    MODERN PUBLICATION|Exercise COMPETITION FILE ( OBJECTIVE TYPE QUESTIONS MULTIPLE CHOICE QUESTIONS (with more than one correct answer) )|35 Videos

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    MODERN PUBLICATION|Exercise REVISION EXERCISES (Numerical Problems)|20 Videos

  • PHYSICAL WORLD

    MODERN PUBLICATION|Exercise Revision exercises (Long answer questions)|6 Videos

  • THERMAL PROPERTIES OF MATTER

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos

Similar Questions

Explore conceptually related problems

Calculate the moment of inertia of a ring of mass 2 kg and radius 50 cm about an axis passing through its centre and perpendicular to its plane

Calculate the moment of inertia of a ring of mass 2kg and radius 2cm about an axis passing through its centre and perpendicular to its surface.

Moment of inertia of a ring of mass M and radius R about an axis passing through the centre and perpendicular to the plane is

The moment of inertia of a square plate of mass 4kg and side 1m about an axis passing through its centre and perpendicular to its plane 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.

The moment of inertia of a uniform semicircular wire of mass m and radius r, about an axis passing through its centre of mass and perpendicular to its plane is mr^(2)(-(k)/(pi^(2))) . Find the value of k.

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 :

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 M.I. of disc of mass M and radius 'R' about an axis passing through midway between centre and circumference and perpendicular to its plane is

MODERN PUBLICATION-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-COMPETITION FILE (OBJECTIVE TYPE QUESTIONS (MULTIPLE CHOICE QUESTIONS) (MULTIPLE CHOICE QUESTIONS WITH ONLY ONE CORRECT ANSWER) )
  1. A solid sphere rolls on a table without any slipping. What is the frac...

    Text Solution

    |

  2. There is a solid sphere of mass m. Moment of inertia about the axis pa...

    Text Solution

    |

  3. Calculate the moment of Inertia of a semicircular disc of mass M and r...

    Text Solution

    |

  4. There is a square planar object. Moment of inertia of this object abou...

    Text Solution

    |

  5. A solid sphere is rotating freely about its symmetry axis in free spac...

    Text Solution

    |

  6. A solid sphere of radius R is placed on a smooth horizontal surface. A...

    Text Solution

    |

  7. A circular disc is to be made by using iron and aluminium, so that it ...

    Text Solution

    |

  8. Three objects, A (a solid sphere), B (a thin circular disc) and C (a c...

    Text Solution

    |

  9. A solid sphere (mass 2M) and a thin spherical shell (mass M) both of t...

    Text Solution

    |

  10. If the earth were to suddenly contract to half of its present radius ...

    Text Solution

    |

  11. A solid sphere is in rolling motion. In rolling motion a body prossese...

    Text Solution

    |

  12. A solid cylinder of mass 2 kg and radius 50 cm rolls up an inclined pl...

    Text Solution

    |

  13. A thin rod of length L and mass M is bent at its midpoint into two hal...

    Text Solution

    |

  14. cricket bat is cut at the location of its centre of mass as shown in t...

    Text Solution

    |

  15. Four identical thin rods each of mass M and length l, from a square fr...

    Text Solution

    |

  16. If is the force acting on a particle having position vector and be the...

    Text Solution

    |

  17. The moment of the force, vec F = 4 hati + 5 hat j - 6 hat k at (2, 0 ,...

    Text Solution

    |

  18. Two particle which are initially at rest move towards each other under...

    Text Solution

    |

  19. A circular disc of moment of inertia I(t) is rotating in a horizontal...

    Text Solution

    |

  20. From a given sample of uniform wire, two circular loops P and Q are ma...

    Text Solution

    |