TY - JOUR
T1 - Novel Theory of Mathematical Pendulum Part 1
AU - Pluta, ZdzisĹ‚aw
AU - Hryniewicz, Tadeusz
JF - International Letters of Chemistry, Physics and Astronomy
VL - 14
SP - 136
EP - 145
SN - 2299-3843
PY - 2013
PB - SciPress Ltd.
DO - 10.18052/www.scipress.com/ILCPA.14.136
UR - https://www.scipress.com/ILCPA.14.136
KW - Force Characteristics
KW - Inertia
KW - Mathematical Pendulum
KW - Potential Field
KW - Stable State
KW - Unstable State
AB - In the paper, a new adequate theory of a simple mathematical pendulum is presented. This paper consists of two parts. In Part 1, the behaviour of pendulum in particular points, that is in central and terminal/extremum ones have been analyzed very carefully in detail. System of forces in these points was considered with a special attention turned towards the terminal points where the equilibrium of forces occurs and in the next moment the lack of that equilibrium takes place with the proof of the open polygon of forces as the condition of beginning of accelerated free variable motion. Part 2 of the paper is to be devoted to the kinetics of the pendulum weight presented by separating in it the descriptions of differentiated motion of this body in the consecutive neighbouring space-times corresponding with particular quarter-periods. In the conclusion, further elaborations in the subject are forecasted, regarding both dynamics and energy of the flat mathematical pendulum.
ER -