Question: Solve Problem by defining the motion directly in terms of the angular displacements 81 and 02.
Problem: A double pendulum consists of two bobs of mass mi and nit suspended by inextensible, massless strings of length L1 and L2 (Fig.). Use Newton's second law to derive four equations of motion for the rectangular coordinates x1, ,Y1 ,X2 and y2. Then, express x1 > 11., and 3/2 in terms of the angles θ and θ2, eliminate the tensions T1 and T2 in the strings and obtain two equations of motion for θr and θ2.
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