Functions of Multi-Pendula System in Spatial Motion

Abstract

A study has been done using generalized coordinates system with the application of the Lagrangian
formalism for n mass units linearly connected to move in space. Lagrangian equations have been developed
and used throughout the research to determine the equations of motion for multi-pendula system for several as
well as many mass units involved. These equations were solved using various mathematical techniques to
determine the zenith angular accelerations for each system. The accelerations are found to be directly
proportional to the sum of the product of the azimuth velocity and the respective zenith displacement