Home
Class 11
PHYSICS
Three point masses each of mass m are pl...

Three point masses each of mass m are placed at the corners of an equilateral triangle of side b. The moment of inertia of the system about an axis coinciding with one side of the triangle is

A

`3mb^(2)`

B

`mb^(2)`

C

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

D

`(2//3)mb^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C

`I = m xx (sqrt(3b) //2)^(2) = 3mb^(2)//4`.
Promotional Banner

Topper's Solved these Questions

  • COMPETITION CARE UNIT

    ICSE|Exercise GRAVITATION |25 Videos
  • COMPETITION CARE UNIT

    ICSE|Exercise PROPERTIES OF MATTER (ELASTICITY ) |22 Videos
  • COMPETITION CARE UNIT

    ICSE|Exercise UNIFORM CIRCULAR MOTION |25 Videos
  • CIRCULAR MOTION

    ICSE|Exercise MODULE 2 (FROM ROTATIONAL KINETIC ENERGY , WORK ,POWER)|24 Videos
  • DIMENSIONS

    ICSE|Exercise SELECTED PROBLEMS (FROM CONVERSIONS OF ONE SYSTEMS OF UNITS INTO ANOTHER)|9 Videos

Similar Questions

Explore conceptually related problems

Three particles, each of mass 200 g are kept at the corners of an equilateral triangle of side 10 cm. Find the moment of inertia of the system about an axis a. joining two of the particles b. passing through one of the particle perpendicular to the plane of the particles.

Three point masses m_(1), m_(2) and m_(3) are located at the vertices of an equilateral triangle of side alpha . What is the moment of inertia of the system about an axis along the altitude of the triangle passing through m_(1)?

Three point masses m_(1), m_(2) and m_(3) are located at the vertices of an equilateral triangle of side alpha . What is the moment of inertia of the system about an axis along the altitude of the triangle passing through m_(1)?

Three particle each of mass m are placed at the corners of equilateral triangle of side l Which of the following is/are correct ?

Four point masses each of value m, are placed at the corners of a square ABCD of side l , The moment of inertia of the system about an axis passing throught A and parallel to BD is

Side of an equilateral triangle is I . Three point masses, each of magnitude m, are palced at the three vertices of the triangle . Momment of inertia of this system about one side of the triangle as axis is given by

In the diagram three point masses 'm' each are fixed at the corners of an equilateral triangle.Moment of inertia of the system abouty-axis is N/10ma^2 , N is:

Three masses 2 kg , 3kg and 4kg are lying at the corners of an equilateral triangle of side I. The X coordinate of center of mass is

3 particles of mass 10 gm each are placed at the corners of an equilateral triangle of side 5 cm. The M.I. of the system about a perpendicular axis to the plane passing through a corner of the triangle will be : (in kg- m^(2) )

Three masses of 2 kg, 3 kg and 4 kg are located at the three vertices of an equilateral triangle of side 1 m. What is the M.I. of the system about an axis along the altitude of the triangle and passing through the 3 kg mass?

ICSE-COMPETITION CARE UNIT-UNIFORM CIRCULAR MOTION (ROTATIONAL MOTION AND MOMENT OF INERTIA )
  1. The position of center of mass of a system of particles does not depen...

    Text Solution

    |

  2. A solid cylinder of mass M and radius R rolls down an inclined plane w...

    Text Solution

    |

  3. The moment of inertia of a hoop of radius R and mass M, about any tang...

    Text Solution

    |

  4. The torque acting on a body is the rotational, analogue of

    Text Solution

    |

  5. The ratio rotational and translational kinetic energies of a sphere is

    Text Solution

    |

  6. Let g be the acceleration due to gravity at the earth's surface and K ...

    Text Solution

    |

  7. A body is rolling without slipping on a horizontal plane. If the rotat...

    Text Solution

    |

  8. If the moment of inertion of a disc about an axis tangentially and par...

    Text Solution

    |

  9. Three point masses each of mass m are placed at the corners of an equi...

    Text Solution

    |

  10. A flywheel rotating about a fixed axis has a kinetic energy of 360J wh...

    Text Solution

    |

  11. Two spheres of masses 2 M and M are intially at rest at a distance R a...

    Text Solution

    |

  12. A wheel is rotating at 900 rpm about its axis. When the power is cut o...

    Text Solution

    |

  13. Two bodies of masses m(1) and m2 (m1 gt m2) respectively are tied to ...

    Text Solution

    |

  14. A thin circular ring of mass M and radius r is rotating about its axis...

    Text Solution

    |

  15. Two particles A and B intiallly at rest, move towards each other under...

    Text Solution

    |

  16. A uniform rod of length 6a and mass 8m lies on a smooth horizontal tab...

    Text Solution

    |

  17. Two particles A and B, initially at rest, moves towards each other und...

    Text Solution

    |

  18. One quarter sector is cut from a uniform circular disc of radius R. Th...

    Text Solution

    |

  19. A tube of length L is filled completely with an incompressible liquid ...

    Text Solution

    |

  20. A mass M moving with a constant velocity parallel to the X-axis. Its a...

    Text Solution

    |