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In this paper, a new tripod system is proposed for the light-metal machining application, and its kinematic and dynamic models are studied. The new tripod system is a type of parallel kinematic machine with three degrees of freedom, and it uses a passive leg to increase system stiffness and eliminate the undesired end-effector motion along some axes. Both the direct and inverse kinematic problems are solved, and the dynamic problem is modeled by applying the Newton-Euler approach. A case study is provided to validate the kinematic and dynamic models and illustrate this new tripod design.