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This study investigates the dynamics and vibration of high-speed planetary gears, spinning cantilevered beams, and gear pairs. High-speed planetary gear dynamics and vibration are analyzed using a lumped-parameter model. A continuous model is used to study spinning cantilever beam vibration. A finite element/contact mechanics model is used for the dynamics of gear pairs. Chapter 2 investigates the modal property structure of high-speed planetary gears with gyroscopic effects. The vibration modes of these systems are complex-valued and speed-dependent. Equally-spaced and diametrically-opposed planet spacing are considered. Three mode types exist, and these are classified as planet, rotational, and translational modes. The properties of each mode type and that these three types are the only possible types are mathematically proven. Reduced eigenvalue problems are determined for each mode type. The eigenvalues for an example high-speed planetary gear are determined over a wide range of carrier speeds. Divergence and flutter instabilities are observed at extremely high speeds