  This paper presents a general formulation of equations of motion of a
pendulum with n point mass by use of two different methods. The first one is
obtained by using Lagrange Mechanics and mathematical induction(inspection),
and the second one is derived by defining a vector. Today, these equations can
be obtained by employing numerous programs; however, this study gives a very
compact form of these equations that is more efficient than solving
Euler-Lagrange Equations for every pendulum with more complex structures than
simple or double pendulum. Additionally, we investigate what will happen to our
n-point mass system when we take limit as number of point masses goes infinity
under well-defined assumptions. We find out that it converges to hanging rope
system.
