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Three point masses ' m ' each are placed at the three vertices

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Three point masses ' $m$ ' each are placed at the three vertices of an equilateral triangle of side ' $a$ '. Find net gravitational force on any one point mass.

Name: Video solution 1: Three point masses ' m ' each are placed at the three vertices of an equilateral triangle of side ' a'. Find net gravitational force on any one point mass.
Uploaded: 2022-12-15T04:29:22.000Z
Duration: 7 min
Description: Video solution 1: Three point masses ' m ' each are placed at the three vertices of an equilateral triangle of side ' a'. Find net gravitational force on any one point mass.

Views: 5,752 students

Updated on: Dec 15, 2022

Book:

Mechanics Volume 2 (DC Pandey)

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Three point masses '

m

' each are placed at the three vertices of an equilateral triangle of side '

a

'. Find net gravitational force on any one point mass.

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15 mins ago

Text solutionVerified

We are finding net force on the point mass kept at

O

F = \frac{G ( m ) ( m )}{a ^{2}} = \frac{G m ^{2}}{a ^{2}}

Since, the two forces are equal in magnitudes, therefore the resultant force will pass through the centre as shown in figure.

F_{net} = F^{2} + F^{2} + 2 (F) (F) cos 6 0^{\circ} = 3 F = \frac{3 G m ^{2}}{a ^{2}}

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Question Text	Three point masses ' $m$ ' each are placed at the three vertices of an equilateral triangle of side ' $a$ '. Find net gravitational force on any one point mass.
Updated On	Dec 15, 2022
Topic	Laws of motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	200
Avg. Video Duration	7 min

Three point masses ' $m$ ' each are placed at the three vertices of an equilateral triangle of side ' $a$ '. Find net gravitational force on any one point mass.

Text solutionVerified

Filo tutor solutions (1)

Practice questions from Mechanics Volume 2 (DC Pandey)

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Three point masses ' m ' each are placed at the three vertices of an equilateral triangle of side ' a'. Find net gravitational force on any one point mass.

Text solutionVerified

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Three point masses ' $m$ ' each are placed at the three vertices of an equilateral triangle of side ' $a$ '. Find net gravitational force on any one point mass.