NotesFAQContact Us
Collection
Advanced
Search Tips
50 Years of ERIC
50 Years of ERIC
The Education Resources Information Center (ERIC) is celebrating its 50th Birthday! First opened on May 15th, 1964 ERIC continues the long tradition of ongoing innovation and enhancement.

Learn more about the history of ERIC here. PDF icon

Showing all 2 results
An Anharmonic Solution to the Equation of Motion for the Simple Pendulum
Peer reviewed Peer reviewed
Direct linkDirect link
Johannessen, Kim – European Journal of Physics, 2011
An anharmonic solution to the differential equation describing the oscillations of a simple pendulum at large angles is discussed. The solution is expressed in terms of functions not involving the Jacobi elliptic functions. In the derivation, a sinusoidal expression, including a linear and a Fourier sine series in the argument, has been applied.…
Descriptors: Mathematics Education, Laboratory Equipment, Motion, Calculus
An Approximate Solution to the Equation of Motion for Large-Angle Oscillations of the Simple Pendulum with Initial Velocity
Peer reviewed Peer reviewed
Direct linkDirect link
Johannessen, Kim – European Journal of Physics, 2010
An analytic approximation of the solution to the differential equation describing the oscillations of a simple pendulum at large angles and with initial velocity is discussed. In the derivation, a sinusoidal approximation has been applied, and an analytic formula for the large-angle period of the simple pendulum is obtained, which also includes…
Descriptors: Physics, Motion, Science Instruction, Equations (Mathematics)