Irodov Problem 4.17

Similar to Problem 4.16,






At the equilibrium point xo, F=0, hence we have,






Now let us consider the motion of the particle due to a small displacement about xo. The force will be given by,




Using Taylor's series we can approximate (3) as,

Irodov Problem 4.16

For this problem we shall use the fact that,



Hence we have,






For small values of x we have,



Hence,

Irodov Problem 4.15

a)











b)

Irodov Problem 4.14

a)








b)