force

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force F_vector=yi +xj acts upon a particle of mass m
here how we can check that whether origin is unstable or stable equilibrium

#Physics #Mechanics

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Ghosty ·2009-03-26 04:52:36

U=-âˆ«(yi+xj)(dxi+dyj)
Î”U=-xy

i think unstable equilibrium...

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ANKIT MAHATO ·2009-03-26 05:29:08

-dU/dx = yi ... U = -xy
-dU/dy = xj ... U = -xy

therefore U = -xy

at origin it is 0 ... at some other point it can be positive or -ve .. therefore at origin it niether attains maxima or minima .. so it is in unstable eq .

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Abhishek Priyam ·2009-03-26 05:54:23

Both are correct..

it is unstable equilibrium...

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deepanshu001 agarwal ·2009-03-26 06:42:32

can sum1 elaborate ghosty s technique

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Abhishek Priyam ·2009-03-26 07:01:27

It is easy.. just multiply.... them and you will get ydx+xdy=d(xy)

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