Dear Sir,

In case of a spring mass system,

The energy stored in the system after the displacement x is

=1/2

The work done by the force F on the system is
= F *x

According to work energy principle both should be equal

and hence

1/2 k*x^2 = F *x

But according to minimum potential energy theorem , they are not treated as equal. i.e The potential energy of the system is taken as P.E = 1/2 k*x^2 - F *x

and it should be minimum.

What is the relation between both the principles? One treats both the force are equal and other treats there is a difference between them.

I am confused. regds, Yogesh Joshi

In case of a spring mass system,

The energy stored in the system after the displacement x is

=1/2

***k***x^2The work done by the force F on the system is

According to work energy principle both should be equal

and hence

1/2 k*x^2 = F *x

But according to minimum potential energy theorem , they are not treated as equal. i.e The potential energy of the system is taken as P.E = 1/2 k*x^2 - F *x

and it should be minimum.

What is the relation between both the principles? One treats both the force are equal and other treats there is a difference between them.

I am confused. regds, Yogesh Joshi