Question 11 (6 points) In the small angle approximation the equation of motion for a simple pendulum is given by the following expression: au = Ialpha = Lg heta Where the moment of inertia for a the simple rigid pendulum with a massless rod is I = mL^2 Show how, in these approximations, that heta(t) = A cos(omega t + phi) is a solution and derive an expression for omega in terms of the given parameters. Use the equation editor.
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\[ \tau = I \alpha = L g \theta \] Show more…
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