A proposed future mode of mass transit is the hyperloop system, in which magnetically levitating passenger pods travel at high speed through a tube held at low pressure. This thesis will investigate the dynamics of such a system, and determine the influence of various parameters on the dynamic response of the system. The tube has been modelled using an implicit dynamic finite element model, coupled to a vehicle model based on rigid body dynamics by a PID controlled force, which simulates the magnetic suspension. The influence of several vehicle and infrastructure parameters on the overall dynamics has been determined, and several interesting resonance and cancellation cases have been observed. The results prove the hyperloop concept is feasible from a dynamics point of view, while the methodology is readily adapted for use with more realistic vehicle models for future hyperloop design work.