# Thread: Word Problem Help!

1. ## Word Problem Help!

Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is at its maximum at time t=0.

amplitude= 35 cm
period = 8 seconds

2. Originally Posted by aligator0207
Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is at its maximum at time t=0.

amplitude= 35 cm
period = 8 seconds
The function can be written as
x = A*cos(ωt), where A = 35 cm and ω = 2π/8

3. Originally Posted by aligator0207
Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is at its maximum at time t=0.

amplitude= 35 cm
period = 8 seconds
Since we know it's a maximum at $\displaystyle t=0$ we need to use the cosine because $\displaystyle \cos(0) = 1$

Use the equation $\displaystyle f(t) = A\cos(\omega t)$.

$\displaystyle \omega = \frac{2\pi}{T} = 2\pi f$ where the symbols have their usual meaning