Mastering Work Energy Methodologies and Applications

This course covers a comprehensive understanding of work energy methodologies and their applications in solving dynamical system problems. For instance, the course begins with the basics of Newton's second law and the impulse momentum approach, gradually moving towards the work energy formulation. This formulation is explained using a real-world example of a block falling in a gravitational field, experiencing an opposing force. The course also delves into the concept of rigid body dynamics, using a weightless bar pivoted at a point with a weight at the end as an example. It further explores the forces acting on the bar and the relationship between linear and angular acceleration. Lastly, the course focuses on the application of spring potential energy, explaining the concepts of acceleration, force balance, and the equation of motion for a linear spring. It concludes with a discussion on energy conservation in a system and the concept of a conserved system.