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2. (20 points) Two cyclists are racing on a circular track. The positions of each cyclist on the track, relative to some fixed point, are

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2. (20 points) Two cyclists are racing on a circular track. The positions of each cyclist on the track, relative to some fixed point, are determined by the angles 01, 02. Their angular velocities are 01 = w1 + b 4+ 3cos(01 -02) - 2 sin(201 - 202) 02 = W2 + 6 4 + 3 cos(02 - 01) - 5 sin(202 - 201) , where w1, w2, b > 0 are constants

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