Home
Class 12
PHYSICS
A light rod of length l has two masses m...

A light rod of length `l` has two masses `m_1` and `m_2` attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is.

A

`(m_(1)m_(2))/(m_(1)+m_(2)) l^(2)`

B

`(m_(1)+m_(2))/(m_(1)m_(2)) l^(2)`

C

`(m_(1)+m_(2))l^(2)`

D

`sqrt(m_(1)m_(2))l^(2)`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • RE-NEET 2024

    NEET PREVIOUS YEAR (YEARWISE + CHAPTERWISE)|Exercise Question|50 Videos

  • SOLID AND SEMICONDUCTOR DEVICES

    NEET PREVIOUS YEAR (YEARWISE + CHAPTERWISE)|Exercise Exercise|105 Videos

Similar Questions

Explore conceptually related problems

Two masses m_(1) and m_(2) are attached to the ends of a light rod of length l .The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is (m_(1)=m and m_(2) =2m)

Two point masses m and 4m are connected by a light rigid rod of length l at the opposite ends. Moment of inertia of the system about an axis perpendicular to the length and passing through the centre of mass is

Two uniform solid of masses m_(1) and m_(2) and radii r_(1) and r_(2) respectively, are connected at the ends of a uniform rod of length l and mass m . Find the moment of inertia of the system about an axis perpendicular to the rod and passing through a point at a distance of a from the centre of mass of the rod as shown in figure.

Calculate the moment of inertia of a rod of mass M, and length l about an axis perpendicular to it passing through one of its ends.

Calculate the moment of inertia of a rod of mass 2 kg and length 5 m about an axis perpendicular to it and passing through one of its ends.

Two point size bodies of masses 2kg, 3kg are fixed at two ends of a light rod of length 1m . The moment of inertia of two bodies about an axis perpendicular to the length of rod and passing through centre of mass of two bodies is

A rod of length L is composed of a uniform length 1/2 L of wood mass is m_(w) and a uniform length 1/2 L of brass whose mass is m_(b) . The moment of inertia I of the rod about an axis perpendicular to the rod and through its centre is equal to

A system consists of two identical sphers each of mass 1.5 kg and radius 50 cm at the ends of a light rod .The distane between the centres of the spheres is 5 m .What will be the moment of inertia of the system about an axis perpendicular to the rod passing through its midpoint .

NEET PREVIOUS YEAR (YEARWISE + CHAPTERWISE)-ROTATIONAL MOTION-Exercise
  1. Two rotating bodies A and B of masses m and 2m with moments of inertia...

    Text Solution

    |

  2. A solid sphere of mass m and radius R is rotating about its diameter. ...

    Text Solution

    |

  3. A light rod of length l has two masses m1 and m2 attached to its two e...

    Text Solution

    |

  4. Three idential spherical shells each of mass m and radius r are placed...

    Text Solution

    |

  5. Point masses m(1) and m(2) are placed at the opposite ends of a rigid ...

    Text Solution

    |

  6. An autmobile moves on road with a speed of 54 km//h. The radius of its...

    Text Solution

    |

  7. A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate abou...

    Text Solution

    |

  8. The ratio of the accelerations for a solid sphere (mass m, and radius ...

    Text Solution

    |

  9. A rod PQ of mass M and length L is hinged at end P. The rod is kept ho...

    Text Solution

    |

  10. A small object of uniform density rolls up a curved surface with an in...

    Text Solution

    |

  11. When a mass is rotating in a plane about a fixed point, its angular mo...

    Text Solution

    |

  12. Two persons of masses 55 kg and 65 kg respectively are at the opposite...

    Text Solution

    |

  13. O is the centre of an equilateral triangle ABC. F(1), F(2) and F(3) ar...

    Text Solution

    |

  14. A particle moves in a circle of radius 5 cm with constant speed and ti...

    Text Solution

    |

  15. The instantaneous angular position of a point on a rotating wheel is g...

    Text Solution

    |

  16. The moment of inertia of a thin uniform rod of mass M and length L abo...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. A gramphone record is revolving with an angular velocity omega. A coin...

    Text Solution

    |

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

    Text Solution

    |