Question

Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is zero at time t=0 amplitude 6 in., frequency 5/π Hz

Answer 1

The function that models the simple harmonic motion with the given properties is x(t) = 6 cos(2π(5/π)t).

Step-by-step explanation:

In simple harmonic motion, the displacement as a function of time is given by x(t) = X cos(2πft), where X is the amplitude and f is the frequency. In this case, the amplitude is 6 in. and the frequency is 5/π Hz. Therefore, the function that models the simple harmonic motion with the given properties is x(t) = 6 cos(2π(5/π)t).