6.25. Spring on a T ** A rigid T consists of a long rod glued perpendicular to another rod of length & that is pivoted at the origin. The T rotates around in a horizontal plane with constant frequency w. A mass m is free to slide along the long rod and is connected to the intersection of the rods by a spring with spring constant k and relaxed length zero (see Fig. 6.27). Find r(t), where r is the position of the mass along the long rod. There is a special value of w; what is it, and why is it special? m (top view)

6.25. Spring on a T ** A rigid T consists of a long rod glued perpendicular to another rod of length & that is pivoted at the origin. The T rotates around in a horizontal plane with constant frequency w. A mass m is free to slide along the long rod and is connected to the intersection of the rods by a spring with spring constant k and relaxed length zero (see Fig. 6.27). Find r(t), where r is the position of the mass along the long rod. There is a special value of w; what is it, and why is it special? m (top view)