Sum of Moments equals I alpha proof

The video tutorial presents a complex derivation of a key formula in engineering dynamics. It begins with a disclaimer about the complexity of the proof, followed by an analysis of a single particle and the introduction of a non-rotating axis. The tutorial explains the relative acceleration formula, acceleration vectors, and net force calculation. It then calculates the moment about a point for a particle and sums moments for all particles, introducing the center of mass. The moment expression is simplified using the center of mass, and special cases are explored to conclude the derivation.

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