Respuesta :
Answer:
y = 5sin[tex](\frac{x}{2})[/tex]
Step-by-step explanation:
Since harmonic motion is represented by the sine wave equation.
y = a sin (bx)
where a = amplitude
period = [tex]\frac{2\pi}{b}[/tex]
Amplitude of the harmonic motion is given as 5 and period is 4 seconds.
so a = 5
and 4 = [tex]\frac{2\pi}{b}[/tex] ⇒ b = [tex]\frac{2\pi}{4}[/tex]
b = [tex]\frac{\pi}{2}[/tex]
Now we replace the values of a and b in the sine equation
y = 5sin[tex](\frac{x}{2})[/tex]
