Home
Class 11
PHYSICS
Three identical particles each of mass "...

Three identical particles each of mass "m" are arranged at the corners of an equiliteral triangle of side "L". If they are to be in equilibrium, the speed with which they must revolve under the influence of one another's gravity in a circular orbit circumscribing the triangle is

Text Solution

Verified by Experts

The correct Answer is:
`v = sqrt((GM)/(L))`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Advance MCQs|17 Videos
  • FLUID MECHANICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Problems|86 Videos
  • KINEMATICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Pro.|83 Videos

Similar Questions

Explore conceptually related problems

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

Three particles each of mass m are arranged at the corners of an equililateral triangle of side L . If one of masses is doubled. The shift in the centre of mass of the system

Three particle each of mass m , are located at the vertices of an equilateral triangle of side a. At what speed must they move if they all revolve under the influence of their gravitational force of attraction in a circular orbit circumscribing the triangle while still preserving the equilateral triangle ?

Three particles each of mass m are palced at the corners of an equilateral triangle of side b . The gravitational potential energy of the system of particle is

Six identical particles each of mass m are arranged at the corners of a regular hexagon of side length L . If the mass of one of the particle is doubled, the shift in the centre of mass is

Four identical particles of mass M are located at the corners of a square of side ‘a’. What should be their speed if each of them revolves under the influence of others’ gravitational field in circular orbit circumscribing the square ?

Three particles each of mass 2kg are at the corners of an equilateral triangle of side sqrt 3 m . If one of the particles is removed, the shift in the centre of mass is

Three identical particles each of mass 0.1 kg are arranged at three corners of a square of side sqrt(2) m . The distance of the centre of mass from the fourth corners is

PHYSICS GALAXY - ASHISH ARORA-GRAVITATION-Unsolved Numerical
  1. Imagine a planet whose diameter and mass are both one half of those of...

    Text Solution

    |

  2. A thin rod of mass M and length L is bent in a semicircle as shown in ...

    Text Solution

    |

  3. Three identical particles each of mass "m" are arranged at the corner...

    Text Solution

    |

  4. A smooth tunnel is dug along the radius of earth that ends at centre. ...

    Text Solution

    |

  5. A particle of mass m is subjected to an attractive central force of ma...

    Text Solution

    |

  6. If the radius of the earth were to shrink by one percent its mass rema...

    Text Solution

    |

  7. In a certain region of space gravitational field is given by I = - (k/...

    Text Solution

    |

  8. A short , straight and frictinless tunnel is bored through the centr...

    Text Solution

    |

  9. An iron ball o fradius 1 m and density 8000 kg m^(-3) is placed in ...

    Text Solution

    |

  10. Two satellites A and B of equal mass move in the equatorial plane of t...

    Text Solution

    |

  11. Three masses, 100 kg, 200 kg and 500 kg are placed at the vertices of ...

    Text Solution

    |

  12. A satellite of Sun is in a circular orbit around the Sun, midway betwe...

    Text Solution

    |

  13. A spacecraft is in a circular orbitof radius 3R around the moon as sho...

    Text Solution

    |

  14. An object weighs 10 N at north pole of Earth. In a geostationary satel...

    Text Solution

    |

  15. What is the minimum energy required to launch a satellite of mass m fr...

    Text Solution

    |

  16. What will be acceleration due to gravity on the surface of the moon if...

    Text Solution

    |

  17. In a gravitational field vectorg = (2hati + 3hatj) N//kg. What is the ...

    Text Solution

    |

  18. A satellite is revolving in the circular equatorial orbit of radius R=...

    Text Solution

    |

  19. A system consists of a thin ring of radius R and a very long uniform w...

    Text Solution

    |

  20. A pendulum beats seconds on the surface of the Earth. Calculate as to ...

    Text Solution

    |