ANALYSIS OF SMALL OSCILLATIONS OF AN ELLIPTICAL PENDULUM USING THE THEOREM OF KINETIC MOMENT CHANGE IN RELATIVE MOTION
The problem of small oscillations of an elliptic pendulum is solved for the case of its given initial angular velocity. Using the theorem of the kinetic moment change in relative motion, a linear non-homogeneous differential equation is obtained and the pendulum law motion is established. The slider motion equation as a function of time is obtained for a given initial angular velocity of pendulum rotation and the slider’s movement velocity in the horizontal direction.