Resonant frequency: 0.50 Hz
The resonant frequency of the pendulum is given by the equation:
\( f = \frac{1}{2\pi} \sqrt{\frac{g}{l}} \)
In this equation we can see that the frequency of the pendulum is proportional to the gravitational force and inversely proportional to the pendulum length. Notice that changing the mass at the end of the pendulum doesn't affect the frequency. However, the mass does affect the energy in the pendulum ā the potential energy = \(mgh\) and kinetic energy = \(\frac{1}{2}mv^2\). In the demonstration, changing the mass changes the length of the lines representing the two energy components.