Question

U=x^2-8x .find position of equilibrium and also type of equilibrium.​

Answer 1

Answer:

x=4m, stable equilibrium

Explanation:

F=dU/dx= 2x-8 (differentiation of U)

as body is in equilibrium put force= zero.

hence, F=0 or 2x-8=0 ,we get x=4

Position Of equilibrium: x=4m

for type of equilibrium we differentiate Force,

we will get= 2

as differentiation of force is Positive hence body is in stable equilibrium.

Answer 2

Answer:

x=4 ,stable

Explanation:

given,U=x²-8

step1:differenciate U

dU/dx=d(x²-8)/dx

We get 2x-8=0

x=4m

when we differenciate force

We get x=2

when force is positive then it is stable