How to solve problem a and problem b

For that mechanical system, please answer the lollowing questions: a) Derive an expression for the system's natural trequency. at... with no damping {b=0}. Sketch the displacement at the mass vs. time and label the period of oscillation in terms of the natural frequency. (b) Assuming an underdamped system. derive an expression tor the system's damped natural frequency. (.03. and damping ratio. c. when k. -. on (rigid track}. Sketch the displacement of the mass vs. time. label the period oi oscillation in terms oi the damped natural frequency. How does the rate of decay of the oscillation relate to the natural lrequency, w,\" and damping ratio. c