The force-deflection equation for a nonlinear spring fixed at one end is F = 1.5x1/2 where F is the force, expressed in newtons applied at the other end and x is the deflection expressed in meters. (a) Determine the deflection x0 if a 4-oz block is suspended from the spring and is at rest. (b) Assuming that the slope of the force-deflection curve at the point corresponding to this loading can be used as an equivalent spring constant, determine the frequency of vibration of the block if it is given a very small downward displacement from its equilibrium position and released.
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