Question

The position of a damped oscillator as a function of time is shown in the figure. This function can be described by the $x(t) = A_0e^{-\gamma t}cos(\omega t)$ formula, where $A_0$ is the initial amplitude, $\gamma$ is the damping coefficient and $\omega$ is the angular frequency. What is the period of the oscillator? Please, notice that the function goes through a grid intersection point. Determine the damping coefficient.

          The position of a damped oscillator as a function of time is shown in the figure.
This function can be described by the $x(t) = A_0e^{-\gamma t}cos(\omega t)$ formula, where $A_0$ is the initial amplitude, $\gamma$ is the damping coefficient and $\omega$ is the angular frequency.
What is the period of the oscillator? Please, notice that the function goes through a grid intersection point.
Determine the damping coefficient.

The position of a damped oscillator as a function of time is shown in the figure.
This function can be described by the x(t) = A0e^-γ tcos(ω t) formula, where A0 is the initial amplitude, γ is the damping coefficient and ω is the angular frequency.
What is the period of the oscillator? Please, notice that the function goes through a grid intersection point.
Determine the damping coefficient.

Added by Luisa R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Ipsita Mandal

03/01/2022

Step 1

In the given figure, we can see that the oscillator starts at position 5 cm, goes through the grid intersection point at position 0 cm, and then returns to position 5 cm. This completes one full cycle. Show more…

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I need help with finding the period. The position of a damped oscillator as a function of time is shown in the figure. Position (cm) 5 4 3 2 1 0 t(s) 0 1 2 3 4 5 6 7 This function can be described by the x(t) = Aoe^(-vt)cos(wt) formula, where Ao is the initial amplitude, y is the damping coefficient, and w is the angular frequency. What is the period of the oscillator? Please notice that the function goes through a grid intersection point. Submit Answer Incorrect. Tries 8/12 Previous Tries Determine the damping coefficient. Submit Answer Tries 0/12