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:

`sqrt(Gm//l)`

Topper's Solved these Questions

GRAVITATION
NN GHOSH|Exercise EXERCISE|29 Videos
FRICTION, WORK POWER AND ENERGY
NN GHOSH|Exercise Exercises (B)|36 Videos
HYDRODYNAMICS
NN GHOSH|Exercise EXERCISES|19 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

NN GHOSH-GRAVITATION-EXERCISE

A man can jump vertically to a height of 1.5 m on the earth. Calculate...
Text Solution
|
A body weights 20 kg on the surface of the earth . What will be its i...
Text Solution
|
Find the self gravitationl potential of (a) a thin unifrom spherica...
Text Solution
|
A projectile is fired vertically from the earth's surface with an init...
Text Solution
|
A short , straight and frictinless tunnel is bored through the centr...
Text Solution
|
Two particle of mass m and M are initially at rest at inifinte ...
Text Solution
|
Three identical particles each of mass "m" are arranged at the corner...
Text Solution
|
An iron ball o fradius 1 m and density 8000 kg m^(-3) is placed in ...
Text Solution
|
A particles is fired vertically from the surface of the earth with a...
Text Solution
|
Calculate the pressure caused by gravitational copmression at the cen...
Text Solution
|
A planet of mass moves alng an ellipes around the sun so that i...
Text Solution
|
In a double star, two stars (one of mass m and the other of mass 2m) d...
Text Solution
|
Two satellites A and B of equal mass move in the equatorial plane of t...
Text Solution
|
Three masses ,100kg 200kg and 500 kg are placed at the vetices of an ...
Text Solution
|
Two satellites of the earth move in the sme plane with radii a and b,b...
Text Solution
|
A body is projected horizontally near the surface of the earth with sq...
Text Solution
|
Calculate the distance from the surface of the earth at which the acc...
Text Solution
|
Find the gravitatinal force of between a point mass m placed at a disa...
Text Solution
|
An artificial satellite (mass m) of a planet (mass M) revolves in a ci...
Text Solution
|
Calcualte the third cosmic veocity i.e the velocity relative to the Ea...
Text Solution
|