Knowing that the figure shown is formed of a thin homogeneous wire, determine the length

Chapter 5, Problem 5.76

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Knowing that the figure shown is formed of a thin homogeneous wire, determine the length l of portion CE of the wire for which the center of gravity of the figure is located at point C when (a) \(\theta = 15^{\circ}\), (b) \(\theta = 60^{\circ}\).

                                                               

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