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Van der Pol's equation Use Poincare-Bendixson to show that Van der Pol's equation.
x·· + ∈x·(x2-1) + x = 0,
has a limit cycle for any positive value of the constant ∈.
[The method is similar to that used for Rayleigh's equation in Example.]
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A shaft having a 40 mm diameter carries a steady load F of 10,000 N and Torque T of 500,000 N-mm is shown in the following figure. The shaft does not rotate. Determine the maximum tensile stress and the maximum shear stress.
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