This describes a particle with mass, m, that is subject to a force to the left, −F0, when the particle is to the right of the origin (x(t)>0), a force to the right, F0, when the pa...This describes a particle with mass, m, that is subject to a force to the left, −F0, when the particle is to the right of the origin (x(t)>0), a force to the right, F0, when the particle is to the left of the origin (x(t)<0), and no force when the particle is sitting right on the origin. However, in this case, the period of the oscillation, the time it takes to repeat, 2τ , depends on the amplitude of the oscillation, or equivalently, on the initial velocity, v.