Equation of Motion and Integration Constants
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Consider a particle moving under the influence of a driving force F(t) with damping proportional to velocity. The equation describing the system is,
m dv/dt + αv = F (t)
The boundary condition in time are v → 0 as t → ±∞. Find v(t) if the input F(t) is a force that is a constant F0 between times t = 0 and t = T and zero otherwise.
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Solution Summary
The solution shows in detail how to solve the equation of motion and how to find the integration constants based on the boundary conditions and continuity.
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