The initial conditions of the slender bar in Problem 2 1.21 areL show that 6 is given as a...

The initial conditions of the slender bar in Problem 2 1.21 are

L show that 6 is given as a function of time by

(a) If k >mgl, show that θ is given as a function of time by

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(b) If k<mgl,show that θ is given as a function of time by

Strategy: To do part (b), seek a solution of the equation of motion of the form .x = Ceλt>, where C and λ are constants.