5 (Zeta) is defined as the exponential damping ratio of the circuit which is a dimensionless measure that describes how oscillations in a system rapidly decay after a disturbance. Prove that the expression for the damping ratio of the series circuit below is: >= . Note how the term depends on the values of R, L and C. (Hint: take the differential equation from the theory and set it equation to the general solution form a + a4x0) + a2x(t) = 0 , where aj=2600)

Ajournal bearing has a journal diameter of 3.250 in with a unilateral tolerance of 20.003 in. the bushing bore has a diameter of 3.256 in and a unilateral tolerance of 0.004 in. the bushing is 2.8 in long and supports a 700-lbf load. the journal speed is 900 rev/min. find the minimum oil film thickness and the maximum film pressure for both sae 20 and sae 20w-30 lubricants, for the tightest assembly if the operating film temperature is 160°f. a computer code is appropriate for solving this problem.