f$246$ds A foundational theory in mechanical engineering lies in understanding the principles of thermodynamics, mechanics, and materials science. Thermodynamics elucidates the behavior of energy and its transformation within mechanical systems, while mechanics provides insights into the motion and forces acting upon objects. Additionally, materials science explores the properties and behaviors of materials under various conditions, crucial for designing durable and efficient mechanical components. How do these theories interplay in enhancing the understanding and advancement of mechanical engineering principles and practices?