A bathroom scale should not oscillate. Ideally it should be critically damped. Show that if it is critically damped for a person of weight Wc, it is over-damped for a person of weight W < Wc. Suppose now that it will be critically damed for a 70.0 kg person so that the platform will deflect by 2.0 cm. What is the spring constant k and what is the damping constant b?

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