Conservation of Mechanical Energy

This lecture covers the concepts of potential energy, mechanical energy, and their conservation principles. It explains the calculation of work, potential energy, and mechanical energy in different scenarios, such as gravitational fields and spring systems. The application of the conservation of mechanical energy is demonstrated through examples involving pendulums, springs, and circular slides. The conditions for the maximum height of a mass, the angle of a pendulum, and the detachment of a ball in a circular slide are analyzed. The lecture concludes with a discussion on the conservation of mechanical energy and the calculation of velocities in various mechanical systems.