What are the Equations for Kinetic Energy and Angular Momentum of a Point Particle Moving in a Circle?

The video tutorial explores the equations for kinetic energy and angular momentum for point particles moving in circles and ellipses. It discusses the equivalence of translational and rotational kinetic energy equations for circular motion and examines the angular momentum equations for point particles and rigid objects. The tutorial also addresses the changes in these equations when the motion is elliptical, highlighting the differences in angular momentum due to its vector nature.

What is the equation for the angular momentum of a point particle?

How does the angular momentum equation for a rigid object differ from that of a point particle?

What changes occur in the kinetic energy and angular momentum equations when a point particle moves in an ellipse instead of a circle?