Question: Consider the free motion of a plane pendulum whose amplitude is not small. Show that the horizontal component of the motion may be represented by

Consider the free motion of a plane pendulum whose amplitude is not small. Show that the horizontal component of the motion may be represented by the approximate expression (components through the third order are included).

* + wi1 + ex3 = 0

Where w2/0 = g/l and ε = 3g/2l3, with l equal to the length of the suspension.

* + wi1 + ex3 = 0

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