This textbook covers the fundamentals and applications of mechanical vibrations and is useful for both undergraduate and postgraduate courses. It provides a concise and clear presentation of dynamics and vibrations including many examples to provide instant illustration and applications of the mathematical relations obtained. It contains self-explanatory sketches, graphs, and figures to curtail long text. Numerous illustrated examples, exercises, and problems at the end of each chapter serve as good sources to grasp the basic principles presented in the text. Review questions and sufficient problems have also been included at the end of each chapter with answer keys for self evaluation. This textbook can also be used as a reference book by researchers and professionals interested in vibrations.