Live Written Correction: Centroids and Distributed Forces

This lecture focuses on the live written correction session for exercises related to centroids, center of mass, and distributed forces in structural mechanics. The instructor begins by addressing a previous mistake made in exercise 4, providing the correct explanation and directing students to the updated resources. The session then progresses to exercise 2, where the center of gravity of a composite body is calculated. The instructor explains the method of composite bodies, detailing the volumes and centers of gravity of the involved shapes. The calculations for the center of gravity are performed step-by-step, demonstrating how to apply the composite bodies rule effectively. The lecture continues with exercise 3, which involves computing the center of gravity for a circular arc, emphasizing the importance of symmetry in simplifying calculations. Finally, exercise 4 addresses a uniformly distributed force on a parabolic shape, guiding students through the derivation of the resultant force and the center of force. The session concludes with a comprehensive summary of the results obtained throughout the exercises.