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
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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
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
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