[QUE/CM-01011] Periodic Motion

Question : A particle of mass $m$ is moving in a potential $$ V(x) = \begin{cases} -\lambda x & x < 0 \\ \frac{1}{2}k x^2 & x > 0 \end{cases}$$ Find the turning points and the time taken for the particle to complete one oscillation.

{HSM 45} }