Home
Class 12
PHYSICS
Three identical bodies (each mass M) are...

Three identical bodies (each mass M) are placed at vertices of an equilateral triangle of arm L, keeping the triangle as such by which angular speed the bodies should rotated in their gravitional fields so that the triangle moves along circumference of circular orbit :

A

`sqrt((3GM)/L^(3))`

B

`sqrt((GM)/L^(3))`

C

`sqrt((GM)/(3L^(3)))`

D

`3sqrt((GM)/L^(3))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Three poistive charges of equal value q are placed at the vertices of an equilateral triangle. The resulting lines of force should be sketched as in

A particle of mass m is placed at each vertices of equilateral triangle. If the particle of 5 kg is placed at the centroid of triangle, then find the gravitational force on it. The distance between centroid to vertice is 2 m.

Three particles, each of the mass m are situated at the vertices of an equilateral triangle of side a . The only forces acting on the particles are their mutual gravitational forces. It is desired that each particle moves in a circle while maintaining the original mutual separation a . Find the initial velocity that should be given to each particle and also the time period of the circular motion. (F=(Gm_(1)m_(2))/(r^(2)))

The particles of mass m_(1),m_(2) and m_(3) are placed on the vertices of an equilateral triangle of sides .a.. Find the centre of mass of this system with respect to the position of particle of mass m_(1) .

Three equal masses m are placed at the three vertices of the equivlateral triangle. A mass M is placed at the centroid of triangle. Find gravitational force on it. The distance of centroid to vertice is 1 m.

consider three charges q_(1),q_(2),q_(3) each equal to q at the vertices of an equilateral triangle of side l what is the force on a charge Q placed at the centroid of the triangle

Three equal masses of 1 kg each are placed at the vertices of an equilateral Delta PQR and a mass of 2kg is placed at the centroid O of the triangle which is at a distance of sqrt(2) m from each the verticles of the triangle. Find the force (in newton) acting on the mass of 2 kg.

Find the centre of mass of three particles at the vertices of an equilateral triangle. The masses of the particles are 100g, 150g, and 200g respectively. Each side of the equilateral triangle is 0.5m long.

Three particles A, B, Care located at the comers of an equilateral triangle as shown in figure. Each of the particle is moving with velocity v. Then at the instant shown, the relative angular velocity of

ALLEN -GRAVITATION-EXERCISE 1
  1. Gravitational force between two masses at a distance 'd' apart is 6N. ...

    Text Solution

    |

  2. The value of universal gravitational constant G depends upon :

    Text Solution

    |

  3. Three identical bodies (each mass M) are placed at vertices of an equi...

    Text Solution

    |

  4. Four particles having masses, m, 2m, 3m, and 4m are placed at the four...

    Text Solution

    |

  5. Tidal waves in the sea are primarily due to

    Text Solution

    |

  6. During the journey of space ship from earth to moon and back, the maxi...

    Text Solution

    |

  7. If the distance the centres of earth and moon is D and mass of earth i...

    Text Solution

    |

  8. A satellite of the earth is revolving in a circular orbit with a unifo...

    Text Solution

    |

  9. Following curve shows the variation of intesity of gravitational field...

    Text Solution

    |

  10. Suppose the acceleration due to gravity at earth's surface is 10ms^-2 ...

    Text Solution

    |

  11. Assume that a tunnel is dug through earth from North pole to south pol...

    Text Solution

    |

  12. Mars has a diameter of approximately 0.5 of that of earth, and mass of...

    Text Solution

    |

  13. Three equal masses of 1 kg each are placed at the vertices of an equil...

    Text Solution

    |

  14. One can easily "weigh the earth" by calculating the mass of earth usin...

    Text Solution

    |

  15. Acceleration due to gravity at the centre of the earth is :-

    Text Solution

    |

  16. The value of 'g' on earth surface depends :-

    Text Solution

    |

  17. The value of 'g' reduces to half of its value at surface of earth at a...

    Text Solution

    |

  18. The acceleration due to gravity on a planet is 1.96 ms^(-1). If it is ...

    Text Solution

    |

  19. If the earth stops rotating sudenly, the value of g at a place other t...

    Text Solution

    |

  20. Diameter and mass of a planet is double that earth. Then time period o...

    Text Solution

    |