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

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

B

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

C

`(m_(1)+m_(2))/(m_(1)m_2) l^(2)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2019

    TARGET PUBLICATION|Exercise MCQ|45 Videos
  • SEMICONDUCTORS

    TARGET PUBLICATION|Exercise Evaluation Test|17 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 .

TARGET PUBLICATION-ROTATIONAL MOTION -MCQ
  1. The moment of inertia of a solid cylinder of mass M, length 2 R and ra...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. From a disc of radius R and mass m, a circular hole of diamter R, whos...

    Text Solution

    |

  5. A square frame ABCD is formed by four identical rods cach of mass 'm' ...

    Text Solution

    |

  6. Four point masses, each of value m, are placed at the corners of a squ...

    Text Solution

    |

  7. Three identical uniform thin metal rods form the three sides of an equ...

    Text Solution

    |

  8. The moment of inertia of a uniform cylinder of length l and radius R a...

    Text Solution

    |

  9. (L^(2))/(2I) represents

    Text Solution

    |

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

    Text Solution

    |

  11. A fly wheel is rotating with a definite angular velocity. Suddenly a f...

    Text Solution

    |

  12. When torque acting on a rotating body is zero, then which of the follo...

    Text Solution

    |

  13. Dimensions of angular momentum are

    Text Solution

    |

  14. The angular momentum of a rigid body is

    Text Solution

    |

  15. The rate of change of angular momentum is called

    Text Solution

    |

  16. By keeping moment of inertia of a body constant, if we double the time...

    Text Solution

    |

  17. fixed point, its angular momentum is directed along When a mass is rot...

    Text Solution

    |

  18. A thin horizontal circular disc is rotating about a vertical axis pass...

    Text Solution

    |

  19. Two rotating bodies A and B of masses m and 2m with moments of inertia...

    Text Solution

    |

  20. If there is change of angular momentum from 1 J to 4 J in 4 second, th...

    Text Solution

    |