An inverted pendulum is supported by a linear spring as, Mechanical Engineering

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An inverted pendulum is supported by a linear spring as

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.

(d) Determine the stability nature of each equilibrium position.

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Mechanical Engineering: An inverted pendulum is supported by a linear spring as

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