Home
Class 12
PHYSICS
Two particles of masses m and 2m are pla...

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.

A

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

B

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

C

`(mL^(2))/(4)`

D

`(3mL^(2))/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
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

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 thin uniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular to the plane with n angular velocity omega another disc of one forth mass and same dimension is gently placed over it coaxially, the angular speed of the composite disc will be ............

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 circular disc of radius r and mass m rotates about the axis passing through the centre and perpendicular to its plane. What will if rotational kinetic energy?

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 :-

Four identical thin rods each of mass M and length l from a square frame. Moment of inerita of this frame about an axis through the centre of the square and perpendicular to its plane is ……………

A semicircular lamina of mass m and radius r and centre C . Its center of mass is at a distance x from C . Its moment of inertia about an axis through its center of mass and perpendicular to its plane is:

Two identical rings each of mass m with their planes mutually perpendicular, radius R are welded at their point of contact O . If the system is free to rotate about an axis passing through the point P perpendicular to the plane of the paper, then the moment of in inertia of the system about this axis is equal to

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.

ALLEN -RACE-Basic Maths (ROTATIONAL MOTION)
  1. A wheel starting from rest is uniformly accelerated at 2 {rad}/s^(2) f...

    Text Solution

    |

  2. A body rotates about a fixed axis with an angular acceleration of 3 ra...

    Text Solution

    |

  3. Two particles of masses m and 2m are placed at separation L. Find the ...

    Text Solution

    |

  4. A body rotates about a fixed axis with an angular acceleration of 5 ra...

    Text Solution

    |

  5. For a disc of given density and thickness, its moment of inertia varie...

    Text Solution

    |

  6. If a disc of moment of inertia 1 and radius r is reshaped into a ring ...

    Text Solution

    |

  7. Two circular loops A and B of radii R and 2R respectively are made of ...

    Text Solution

    |

  8. Four solid rigid balls reach of mass m and radius r are fixed on a rig...

    Text Solution

    |

  9. The radius of gyration (K) of a rigid body changes with change of :-

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |