very easy but i want it elegant !

A charged particle (mass m) is hanging from a point and is just abocve the ground initially.

Let the position of the charged particle now be G ..

A man brings another charged particle from infinity to G along a straight line and observes that finally the charged particle rises to a height H as shown in figure .

Find the work done by the man..

This problem is easy but It could be done in a very elegant manner ..

18 Answers

1
satan92 ·

nothing else is given in problem ! they can be unequal to

take everything general except the quantities mentioned

1
Rohan Ghosh ·

no celestine that is the method .

actually without lamis theorem and cnonsidering tension one may make it bulky...

your solution is elegant ...

this wasnt intended to be a special problem just a simple one from my side. ...:)

9
Celestine preetham ·

yes i ve applied lamis thm only rohan

kaymant sir too thinks u have another elegant method post it pls

1
Rohan Ghosh ·

as forces are equaling to zero .. we have them making a triangle

so just apply law of similarity of traingles...

66
kaymant ·

Rohan, what Celestine did was the usual way one would have proceeded. What "elegance" [1]did you find in it? (do not take it otherwise Celestine). And do post your "elegant" method.

9
Celestine preetham ·

it wud be interesting to see ur method pls post it rohan i might learn something new

1
Rohan Ghosh ·

yes this was the reqd elegance (my method is slightly different .. does not matter)

9
Celestine preetham ·

rohan why are u using 2 ids ?????
moreover the name satan doesnt sound good [3]

9
Celestine preetham ·

1
Rohan Ghosh ·

ONLY 12 views !!!!

cmon guys this is not a bad problem ... atleast read it !

11
Subash ·

But what is the magnitude of the two charges ? are they equal?

1
Rohan Ghosh ·

okay i give the answer = 3mgh

1
Rohan Ghosh ·

the concept is right .. but its implementation is vital

that is what i need!

11
Subash ·

Also the equilibirium position of the first charge has to be found with FBDs

11
Subash ·

Is it like this

Initial energy =0

Final energy= Grav PE+ Elect PE

This energy comes from the work by the man

1
Rohan Ghosh ·

okay no need of elegance JUST DO IT IN ANY METHOD ..

1
Rohan Ghosh ·

G is not mentioned in figure ..

it is the initial position of the hanging charged ball

11
Subash ·

where is G?

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