In this comment we analyze the improved series proposed by Duki et al (2018 Eur. J. Phys. 39 065802) for approximate calculation of a variety physical quantities like period simple pendulum and an integral exponential two-dimensional potential-energy function. We show that application approach to latter case is unnecessary because both expansion coefficients original problem are given in terms ...

Wiebe et al., (2022). Torque-limited simple pendulum: A toolkit for getting familiar with control algorithms in underactuated robotics. Journal of Open Source Software, 7(74), 3884, https://doi.org/10.21105/joss.03884

Evaluation of balance control ability would become important in the rehabilitation training. In this paper, in order to make clear usefulness and limitation of a traditional simple inverted pendulum model in balance prediction in sit-to-stand movements, the traditional simple model was compared to an inertia (rotational radius) variable inverted pendulum model including multiple-joint influence...

We analyze a simple model for running: a three-dimensional springloaded inverted pendulum carrying a point mass (3D-SLIP). Our formulation reduces to the sagittal plane SLIP and horizontal plane lateral leg spring (LLS) models in the appropriate limits. Using the intrinsic geometry and symmetries and appealing to the case of stiff springs, in which gravity may be neglected during stance, we der...