Chapter 6, Problem 11P

A spring-mass system is displaced $x=10$ cm and let go. The system then vibrates under a simple harmonic motion in the horizontal direction: in other words, it travels back and forth from $10$ cm to $-10$ cm. If it takes the system $\pi /2$ s to complete one cycle of the harmonic motion, determine

(a) The amplitude, frequency. And period of the motion.

(h) The time required for the system to reach $-10$ cm.

(e) Plot one complete cycle of $x\left(t\right)$. And indicate the amplitude, period, and time shift on the graph.