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Problem The bobs of two pendulums are connected by a spring. When one is moved by an angle (theta) theta and released, what is the resulting motion? Do they eventually have the same energy? For physics students, let the pendulums length=L, point mass=M, and spring constant=K. Find the equations of motion for both pendulums. Solution [...]

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Problem While this problem looks straight from a differential calculus textbook, it requires no advanced math. Two bugs sit on either side of a bubble. The radius r of the bubble is expanding with dr/dt=3 cm/s. The distance between the bugs is d and they sit on either side of a 60 degree arc, find [...]