Physics - SHM Question with Solution | TestHub

A particle of mass 1.5 kg moves along x -axis in a conservative force field. Its potential energy is given by $\mathrm{U}(\mathrm{x})=2{\mathrm{x}}^3-9{\mathrm{x}}^2+12\mathrm{x}$, where all quantities are written in SI units. The plot of this potential energy is given below.\\

\\ It is seen that the particle can be in stable equilibrium at a point on x-axis, ${\mathrm{x}}_0$. When it is displaced slightly from this equilibrium position, it executes SHM with time period T.