assignment4 - Instructor:Dr.EmreAlpman Assignment#3...

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Instructor: Dr. Emre Alpman Assignment #3 Due Date: March 30th, 2010 SINGLE DEGREE-OF-FREEDOM SYSTEMS Description   of the Model This laboratory session an new physical system, a double pendulum, will be analyzed. The new system  is displayed in Figure 1. The cords in the figure are weightless and have a length of 25 cm. Both masses  are 1kg Equation of motion for this system can be written as  1 : ¨ θ 1 = g 2m 1 m 2 sin θ 1 m 2 g sin θ 1 2 θ 2 2sin θ 1 θ 2 m 2 ˙ θ 2 2 L 2 ˙ θ 1 2 L 1 cos θ 1 θ 2 L 1 2m 1 m 2 m 2 cos 2 θ 1 2 θ 2  (1) ¨ θ 2 = 2sin θ 1 θ 2 ˙ θ 1 2 L 1 m 1 m 2 g m 1 m 2 cos θ 1 ˙ θ 2 2 L 2 m 2 cos θ 1 θ 2 L 2 2m 1 m 2 m 2 cos 2 θ 1 2 θ 2   (2)
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assignment4 - Instructor:Dr.EmreAlpman Assignment#3...

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