Chapter 6, Problem 46RE

(a)

To determine

To calculate: The amplitude of an object if it moves in simple harmonic motion with displacement $d\left(\text{in centimeters}\right)$ at time $t\left(\text{in seconds}\right)$ , where $d=\frac{1}{2}\cos \frac{1}{3}\left(t+\frac{1}{2}\right)$ .

(b)

To determine

To calculate: The period $\left(P\right)$ of an object if it moves in simple harmonic motion with displacement $d\left(\text{in centimeters}\right)$ at time $t\left(\text{in seconds}\right)$ , where $d=\frac{1}{2}\cos \frac{1}{3}\left(t+\frac{1}{2}\right)$ .

(c)

To determine

To calculate: The frequency $\left(f\right)$ of an object if it moves in simple harmonic motion with displacement $d\left(\text{in centimeters}\right)$ at time $t\left(\text{in seconds}\right)$ , where $d=\frac{1}{2}\cos \frac{1}{3}\left(t+\frac{1}{2}\right)$ .

(d)

To determine

To calculate: The phase shift of an object if it moves in simple harmonic motion with displacement $d\left(\text{in centimeters}\right)$ at time $t\left(\text{in seconds}\right)$ , where $d=\frac{1}{2}\cos \frac{1}{3}\left(t+\frac{1}{2}\right)$ .