A simple plane pendulum is a pendulum that consists of a point mass \(m\) at the end of a string of length \(L\) of negligible mass (Fig. \(\PageIndex{1}\)). where \(\theta_{0}\) is the (angular) ampl...A simple plane pendulum is a pendulum that consists of a point mass \(m\) at the end of a string of length \(L\) of negligible mass (Fig. \(\PageIndex{1}\)). where \(\theta_{0}\) is the (angular) amplitude of the motion (in radians), \(\omega=\sqrt{g / L}\) is the angular frequency of the motion (rad/s), and \(\delta\) is an arbitrary integration constant (seconds).