Nannie Mack

2021-08-12

An object moves in simple harmonic motion, where t is measured in seconds and d in inches. Help to find the following: a. the maximum displacement, b. the frequency, c. the time required for one cycle, d. the phase shift of the motion.

broliY

Skilled2021-08-13Added 97 answers

a. maximum displacement is $\left|a\right|=2,$

b. the frequency is $f=\frac{\omega}{2\pi}=\frac{\frac{\pi}{4}}{2\pi}=\frac{1}{8}$

c. The time required for one cycle, period is $=\frac{1}{f}=8$

d. The phase shift $=\frac{-\frac{\pi}{2}}{\frac{\pi}{4}}=-2$.

$\left|a\right|=2.f=\frac{1}{8}$. period = 8. phase shift = -2