Question: An inverted pendulum is supported by a linear spring, as shown in Fig. It is required to:
(a) Derive the equation for the angular motion θ(t) about θ.
(b) Determine the equilibrium positions.
(c) Derive the differential equation for small angular motions 01(r) about 0, for each equilibrium position.
(d) Determine the stability nature of each equilibrium position.
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