The discussion focuses on demonstrating that the force acting on a particle described by the parametric equation r=acos(wt)i+bsin(wt)j is always directed towards the center of the ellipse. Participants suggest differentiating the equation twice with respect to time (t) to establish a relationship between the position vector and the acceleration vector. This mathematical approach is essential for proving the central force nature of the motion.
PREREQUISITESStudents and professionals in physics, particularly those studying mechanics and motion, as well as educators looking to explain the concept of forces in elliptical trajectories.
Differentiate the equation twice with respect to t first of all, and see if you can relate the position vector to the acceleration vector.Slayedr said:r=acos(wt)i+bsin(wt)j is the equation(it is an ellipse)
I need to somehow show that the force will always act towards the center.
Is there anyone who can possibly help?