Question

# The force acting on a body moving along x-axis varies with the position of the particle shown in figure. The body is in stable equilibrium at:

A
x=x1
B
x=x2
C
both x1 and x2
D
neither x1 nor x2

Solution

## The correct option is B $$x=x_2$$Force ,$$F=-\dfrac{dU}{dx}$$at $$x=x_1,x=x_2, \dfrac{dU}{dx}=0$$for stable equilibrium,$$\dfrac{dF}{dx}<0$$here at $$x=x_2, \dfrac{dF}{dx}<0$$  So the body is in stable equilibrium at $$x=x_2$$Physics

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