Precision measurements of the pendulum period as a function of the amplitude can now be
made with a variety of instruments including MEMs gyro/accelerometers, and thus …

An analytical approximation of the solution to the differential equation describing the
oscillations of the damped nonlinear pendulum at large angles is presented. The solution is …

The exact expression for the maximum tension of a pendulum string is used to obtain a
closed-form approximate expression for the solution of a simple pendulum in terms of …

Seismic response of masonry towers has been widely studied, whereas research on their
behavior under other dynamic forces is not common. The aim was to study the dynamic …

This paper demonstrates the use of a smartphone's sensors in recording experimental data
for investigating the large angle of a physical pendulum. The smartphone (iPhone 5s) was …

The resonance characteristics of a driven damped harmonic oscillator are well known.
Unlike harmonic oscillators which are guided by parabolic potentials, a simple pendulum …

In the first part of the paper we develop a constructive procedure to obtain the Taylor
expansion, in terms of the energy, of the period function for a non-degenerated center of any …

Accurate approximate closed‐form solutions for the cubic‐quintic Duffing oscillator are
obtained in terms of elementary functions. To do this, we use the previous results obtained …

Despite its elementary structure, the simple pendulum oscillations are described by a
nonlinear differential equation whose exact solution for the angular displacement from …

In this paper, we obtain the analytical solutions of two kinds of transcendental equations with
numerous applications in college physics by means of the Lagrange inversion theorem …