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Laws of motion

Gravitational force

Four particles each of mass ' m ' are placed at the four verti

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Medium

Solving time: 3 mins

Four particles each of mass ' $m$ ' are placed at the four vertices of a square of side ' $a$ '. Find net force on any one of the particle.

Views: 6,159 students

Book:

Mechanics Volume 2 (DC Pandey)

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Olivia Discussed

Four particles each of mass '

m

' are placed at the four vertices of a square of side '

a

'. Find net force on any one of the particle.

7 mins ago

Discuss this question LIVE

7 mins ago

Text solutionVerified

We are finding net force on the particle at

D

F_{D C} = F_{D A} = \frac{G ( m ) ( m )}{a ^{2}} = \frac{G m ^{2}}{a ^{2}} = F (say) F_{D B} = \frac{G ( m ) ( m )}{( 2 a ) ^{2}} = \frac{1}{2} \frac{G m ^{2}}{a ^{2}} = \frac{F}{2}

Now, resultant of

F_{D A}

and

F_{D C}

2 F

in the direction of

D B

∴ F_{net} = 2 F + \frac{F}{2} = (2 + \frac{1}{2}) F = (2 + \frac{1}{2}) \frac{G m ^{2}}{a ^{2}} (towards D B)

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Question Text	Four particles each of mass ' $m$ ' are placed at the four vertices of a square of side ' $a$ '. Find net force on any one of the particle.
Topic	Laws of motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	72

Four particles each of mass ' $m$ ' are placed at the four vertices of a square of side ' $a$ '. Find net force on any one of the particle.

Text solutionVerified

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