This complete solutions manual accompanies Mechanical Vibration: Analysis, Uncertainties, and Control, 4th Edition by Haym Benaroya, Mark L. Nagurka, and Seon Mi Han. It provides detailed, step-by-step solutions to all end-of-chapter problems, including derivations, numerical computations, MATLAB® code explanations, and graphical interpretations. Organized by chapter, solutions cover single- and multi-degree-of-freedom systems, continuous systems, random vibrations, nonlinear dynamics, uncertainty modeling, and active/passive control strategies. An essential resource for instructors teaching vibration theory with emphasis on practical engineering applications and probabilistic approaches.