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A two-dimensional analytical model is developed by solving the differential equations which describe the motion of a vehicle in laboratory-based rollover events. The model is based on a rigid-body kinematics assumption for the entire vehicle. Three cases are studied: the first case deals with determination of the Critical Sliding Velocity of a vehicle rolls over from a tilt table, the second case considers rollover of a vehicle which sits on a platform traveling at a velocity V which is suddenly stops, and the third one repeats the second problem except that the platform is brought to stop according to a given deceleration profile, thus simulating the SAE J2114 rollover test procedure. For the SAE J2114 rollover test procedure simulation, the analytical results are compared with those obtained from MADYMO-based rollover model.