Concept explainers
In Prob. 10.40, determine whether each of the positions of equilibrium is stable, unstable, or neutral. (See the hint for Prob. 10.73.)
10.40 Solve Prob. 10.39, assuming that P = 350 N, l = 250 mm, and K = 12.5 N·m/rad. Obtain answers in each of the following quadrants: 0 < θ < 90°, 270° < θ < 360°, and 360° < θ < 450°.
10.39 The lever AB is attached to the horizontal shaft BC that passes through a bearing and is welded to a fixed support at C. The torsional spring constant of the shaft BC is K; that is, a couple of magnitude K is required to rotate end B through 1 rad. Knowing that the shaft is untwisted when AB is horizontal, determine the value of θ corresponding to the position of equilibrium when P = 100 N, l = 250 mm, and K = 12.5 N·m/rad.
Fig. P10.39
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