Home
Class 12
PHYSICS
Three rods each of mass m and length l a...


Three rods each of mass m and length l are joined together to form an equilateral triangle as shown in figure. Find the moment of inertial of the system about an axis passig through its centre of mass and perpendicular to the plane of the particle.

A

`2mL^(2)`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RACE

    ALLEN |Exercise Basic Maths (GRAVITATION)|25 Videos
  • RACE

    ALLEN |Exercise Basic Maths (Properties of Matter & Fluid Mechanics)(Elasticity)|20 Videos
  • RACE

    ALLEN |Exercise Basic Maths (COLLISION AND CENTRE OF MASS )|12 Videos
  • NEWTONS LAWS OF MOTION

    ALLEN |Exercise EXERCISE-III|28 Videos
  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise Example|1 Videos

Similar Questions

Explore conceptually related problems

Find the moment of inertia of ring about an axis passing through the centre and perpendicular to its plane.

Find the moment of inertia of thin and massless rod about an axis passing through its centre of mass of rod and pair of mass is suspended on both end of this rod.

A uniform equilateral triangular lamina of side a has mass m. Its moment of inertia about the axis passing through the centroid and perpendicular to the plane of the lamina is :-

A uniform equilateral triangular lamina of side a has mass m. Its moment of inertia about the axis passing through the centroid and prependicular to the plane of the lamina is :-

Find the moment of inertia of a uniform circular disc about an axis passing through its geometrical centre and perpendicular to its plane and radius of gyration.

Three sphere of masses m_,m andm_ are located at the vertices of an equilateral triangle having side of same length. Find the moment of inertia of the system about one of side of triangle.

Two particles of masses m and 2m are placed at separation L . Find the M.I. about an axis passing through the center of mass and perpendicular to the line joining the point masses.

Three points charges are placed at the corners of an equilateral triangle of side L as shown in the figure: find the resultant dipole moment

Three solid sphere of mass M and radius R are placed in contact as shown in figure. Find the potential energy of the system ?

ALLEN -RACE-Basic Maths (ROTATIONAL MOTION)
  1. The radius of gyration (K) of a rigid body changes with change of :-

    Text Solution

    |

  2. Four spheres of diameter 2a and mass M are placed with their centres o...

    Text Solution

    |

  3. Three rods each of mass m and length l are joined together to form an ...

    Text Solution

    |

  4. A thin wire of length l and mass m is bent in the form of a semicircle...

    Text Solution

    |

  5. A disc of mass m and radius r is free to rotate about its centre as sh...

    Text Solution

    |

  6. A particle of mass m is projected with speed u at an angle theta with ...

    Text Solution

    |

  7. A cubical block of mass m and edge a slides down a rough inclned plane...

    Text Solution

    |

  8. The torque of force vecF=-2hati+2hatj+3hatk acting on a point vecr=hat...

    Text Solution

    |

  9. torque of a force of megnitude 20 N acting along positive x direction ...

    Text Solution

    |

  10. A disc is rotating with angular velocity omega. A force F acts at a po...

    Text Solution

    |

  11. When a torque acting upon a system is zero, which of the following wil...

    Text Solution

    |

  12. The thin rod shown below has mases M and length L. A force F acts at o...

    Text Solution

    |

  13. Two equal and opposite forces are allplied tangentially to a uniform d...

    Text Solution

    |

  14. A wheel having moment of inertia 4 kg m^(2) about its axis, rotates at...

    Text Solution

    |

  15. For equilibrium of the system, value of mass m should be :-

    Text Solution

    |

  16. Figure shows a rigid rod of length 1.0 m. It is pivoted at O. For what...

    Text Solution

    |

  17. A particle is moving along a straight line parallel to x-axis with con...

    Text Solution

    |

  18. A simple pendulum of mass m and length L is held in horizontal positio...

    Text Solution

    |

  19. A particle is rotating in circle with uniform speed . The angular mome...

    Text Solution

    |

  20. A particle of mass m is moving with constant speed v on the line y=b i...

    Text Solution

    |