Perhaps surprisingly, we can apply the transfer-function concept to mechanical systems....
Perhaps surprisingly, we can apply the transfer-function concept to mechanical systems. Suppose we have a mass m moving through a liquid with an applied force f and velocity v. The motion of the mass
is described by the first-order differential equation 
in which k is the coefficient of viscous friction. Find an expression for the transfer function 
Also, find the half-power frequency (defined as the frequency at which the transfer function magnitude is 1/√2 times its dc value) in terms of k and m. [Hint: To determine the transfer function, assume a steady-state sinusoidal velocity v = Vm cos(2πft), solve for the force, and take the ratio of their phasors.]
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