Chapter 6, Problem 13P

Figure P.13 A spring-mass system for problem P6-13.

The position of a spring-mass system shown in Fig. P6.13 is given by $x\left(t\right)=8\sin \left(2\pi t+\frac{\pi }{4}\right)$ cm.

(a) Find the amplitude, frequency, period, and lime shift of the position of the mass.

(b) Find the time required for the system to reach the first maximum displacement.

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