Suppose amass m is connected to a rigid support by a spring with spring constant k. A frictional force −bẋ is applied by a damper that provides viscous friction, and an external force F(t) may also be applied (see Figure 38.27)

Show that Newton’s laws give an equation of motion for the mass that is precisely analogous to the equation for an LRC circuit, eq. (38.1)

Identify the electromagnetic analogs of m, k, b, and F(t).

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