Question

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 35cm, period 8s

Answer 1

The function that models the simple harmonic motion is x(t) = 35 cos(2πt/8).

Step-by-step explanation:

In simple harmonic motion, the displacement as a function of time is given by the equation x(t) = X cos(2πt/T), where X is the amplitude and T is the period.

Given that the displacement is at its maximum at time t = 0 and the amplitude is 35 cm, and the period is 8s, we can substitute the given values into the equation to find the function that models the simple harmonic motion.

So, the function that models the simple harmonic motion is x(t) = 35 cos(2πt/8).