Many problems require use of noninertial reference frames, for example, those involving satellites and particle accelerators. Figure 2 shows a particle with mass m and position vector x A (t) in a particular inertial frame A. Consider a non-inertial frame B whose origin relative to the inertial one is given by X AB (t). Let the position of the particle in frame B be x B (t). What is the force on the particle as expressed in the coordinate system of frame B?