Consider the equation of motion of a simple pendulum: a. Linearize Eq. (E.1) about an arbitrary angular
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Consider the equation of motion of a simple pendulum:
a. Linearize Eq. (E.1) about an arbitrary angular displacement \(\theta_{0}\) of the pendulum.
b. Investigate the stability of the pendulum about \(\theta_{0}=0\) and \(\theta_{0}=\pi\) using the linearized equation of motion.
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