The work done in moving a particle in this potential from x = 1 m to x = 2 m:
"W=(12 - 2(2)^3 + 7(2)^2 - 4(2))-(12 - 2(1)^3 + 7(1)^2 - 4(1))=3\\ J"
For the equilibrium:
The points of equilibrium:
"\\frac{d^2U}{dx^2}(x_1)=14-12\\frac{1}{3}=10>0"
"\\frac{d^2U}{dx^2}(x_2)=14-12(2)=-10<0"
x1 is the point of stable equilibrium, x2 is the point of unstable equilibrium.
Comments
Leave a comment