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A rigid T consist of a long rod glued perpendicular to another rodof length l that is pivoted at the origin. The T rotates around ina horizontal plane with constant frequency ω. A mass m is freeto slide along the long rod and is connected to the intersection ofthe rods by a spring with spring constant k and relaxed lengthzero. Find r(t), where r is the position of the mass along the longrod. There is a special value of ω, what is it, and why is it special?
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