Home
Class 11
PHYSICS
A T joint is formed by two identical rod...

A T joint is formed by two identical rods A and B each of mass m and length L in the XY plane as shown. Its moment of inertia about axis coinciding with A is

A

`(2mL^(2))/(3)`

B

`(mL^(2))/(12)`

C

`(mL^(2))/(6)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B

`I=(mL^(2))/(12)`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Angular Momentum)|52 Videos
  • ROTATIONAL MOTION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Work, Energy and Power)|44 Videos
  • ROTATIONAL MOTION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Angular Displacement, Velocity and Acceleration)|34 Videos
  • NEWTON'S LAWS OF MOTION

    ERRORLESS|Exercise ASSERTION & REASON |18 Videos
  • SIMPLE HARMONIC MOTION

    ERRORLESS|Exercise Assertion & Reason|15 Videos

Similar Questions

Explore conceptually related problems

A thin wire of mass M and length L is turned into a ring. The moment of inertia about its axis will be:

Three identical rods, each of mass m and length l , form an equaliteral triangle. Moment of inertia about one of the sides is

Four identical rods, each of mass m and length l , make a square frame in the xy plane as shown in Fig. a. Calculate its moment of inertia about the x -and y-axes. b. Also, calculate its moment of inertia about the z -axis.

A square frame ABCD is formed by four identical rods each of mass m and length l. This frame is in xy-plane such that side AB coincides with X-axis and side AD along Y-axis. The moment of inertia of the frame about X-axis is

A thin wire of length l and mass m is bent in the form of a semicircle as shown in the figure. Its moment of inertia about an axis joining its free ends will be

A square is made by joining four rods each of mass M and length L . Its moment of inertia about an axis PQ, in its plane and passing through one one of its corner is

ERRORLESS-ROTATIONAL MOTION-NCERT BASED QUESTIONS (Moment of Inertia)
  1. A ring of mass m and radius r is melted and then moulded into a sphere...

    Text Solution

    |

  2. Two rods each of mass m and length 1 are joined at the centre to form ...

    Text Solution

    |

  3. A T joint is formed by two identical rods A and B each of mass m and l...

    Text Solution

    |

  4. A uniform rod of length '2L' has mass per unit length 'm' . The moment...

    Text Solution

    |

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

    Text Solution

    |

  6. Moment of inertia of a thin uniform rod rotating about the perpendicul...

    Text Solution

    |

  7. A uniform square plate has a small piece Q of an irregular shape remov...

    Text Solution

    |

  8. Two discs of the same material and thickness have radii 0.2 m and 0.6 ...

    Text Solution

    |

  9. Four thin rods of same mass M and same length l, form a square as show...

    Text Solution

    |

  10. Moment of inertia of a uniform circular disc about a diameter is I. It...

    Text Solution

    |

  11. Four particles each of mass m are placed at the corners of a square of...

    Text Solution

    |

  12. Four rings each of mass M and radius R are arranged as shown in the fi...

    Text Solution

    |

  13. Moment of inertia of a disc about its own axis is I. Its moment of ine...

    Text Solution

    |

  14. A rod of length L and mass M is bent to form a semi-circular ring as s...

    Text Solution

    |

  15. ABC is a traiangular plate of uniform thickness. The sides are in the ...

    Text Solution

    |

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

    Text Solution

    |

  17. A tennis racket can be idealized as a uniform ring of mass M and radiu...

    Text Solution

    |

  18. A rod of length L is composed of a uniform length 1/2 L of wood mass i...

    Text Solution

    |

  19. Two loops P and Q are made from a uniform wire. The redii of P and Q a...

    Text Solution

    |

  20. In a rectangle ABCD (BC = 2 AB). The moment of inertia along which axe...

    Text Solution

    |