Home
Class 12
PHYSICS
Two spheres each of mass M and radius R/...

Two spheres each of mass `M` and radius `R//2` are connected with a massless rod of length `R`. Find the moment of inertia of the system about an axis passing through the centre of one of the sphere and perpendicular to the rod

A

`(21)/(5)MR^(2)`

B

`(2)/(5)MR^(2)`

C

`(5)/(2)MR^(2)`

D

`(2)/(21)MR^(2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH INSTITUTE|Exercise Assignment (Section - C) Objective Type Questions (More than one option are correct)|28 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH INSTITUTE|Exercise Assignment (Section - D) Linked Comprehension Type Questions|20 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH INSTITUTE|Exercise Assignment (Section - A) Objective Type Questions (One option is correct)|62 Videos
  • SEMICONDUCTOR ELECTRONICS: MATERIALS, DEVICES AND SIMPLE CIRCUITS

    AAKASH INSTITUTE|Exercise Assignment (Section-D (Assertion and reason))|5 Videos
  • TEST 1

    AAKASH INSTITUTE|Exercise EXERCISE|9 Videos

Similar Questions

Explore conceptually related problems

Two spheres each mass M and radius R are connected with massless rod of length 2R . Then moment of inertia of the system about an axis passing through the centre of one of sphere and perpendicular to the rod will be

Two spheres each of mass M and radius R//2 are connected at their centres with a mass less rod of length 2 R . What will be the moment of inertia of the system about an axis passing through the centre of one of the sphere and perpendicular to the rod ?

Three identical spheres each of mass M and radius R are arranged in a row touching each other and their centres collinear.The moment of inertia of the system about an axis passing through the centre of the middle sphere and perpendicular to the line joining their centres is "

Two point masses m_(1) and m_(2) are joined by a weightless rod of length r . Calculate the moment of inerrtia of the system about an axis passing through its centre of mass and perpendicular to the rod.

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

A diatomic molecule is formed by two atoms which may be treated as mass points m_1 and m_2 joined by a massless rod of length r . Then the moment of inertia of molecule about an axis passing through centre of mass and perpendicular to the rod is:

Moment of inertia of a thin rod of mass m and length l about an axis passing through a point l/4 from one end and perpendicular to the rod is

AAKASH INSTITUTE-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-Assignment (Section - B) Objective Type Questions (One option is correct)
  1. Moment of inertia of a thin semicircular disc (mass - M & radius = R) ...

    Text Solution

    |

  2. Moment of inertia of a disc about an axis parallel to diameter and at ...

    Text Solution

    |

  3. Two spheres each of mass M and radius R//2 are connected with a massle...

    Text Solution

    |

  4. Moment of inertia of a half ring of mass m and radius R about an axis ...

    Text Solution

    |

  5. The ratio of the radii of gyration of a spherical shell and solid sphe...

    Text Solution

    |

  6. The centre of a wheel rolling without slipping on a plane surface move...

    Text Solution

    |

  7. A disc of radius R and mass M is under pure rolling under the action o...

    Text Solution

    |

  8. A ring of mass m and radius R is acted upon by a force F as shown in t...

    Text Solution

    |

  9. A solid sphere of mass 2kg is pulled by a constant force acting at its...

    Text Solution

    |

  10. A hollow sphere is rolling without slipping on a rough surface. The ra...

    Text Solution

    |

  11. A cylinder is released from the top of an incline making angle theta=4...

    Text Solution

    |

  12. The minimum horizontal force applied to the centre of wheel of radius ...

    Text Solution

    |

  13. A solid cylinder is rolling without slipping with velocity of its cent...

    Text Solution

    |

  14. A cylinder is rolling without slipping on a plank which is also moving...

    Text Solution

    |

  15. Three identical rods A, B and C each having length l are in shape of l...

    Text Solution

    |

  16. A particle of mass m=3kg is projected at an angle of 45^(@) with the h...

    Text Solution

    |

  17. A thin circular ring of mass M and radius r is rotating about its ais ...

    Text Solution

    |

  18. A disc is undergoing rolling on a horizontal surface. Which of the sta...

    Text Solution

    |

  19. A theif is running with speed of 10m//s along the line y=10m. The x-y ...

    Text Solution

    |

  20. A rod AB of mass m and length L is rotating in horizontal plane about ...

    Text Solution

    |