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)

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Introduction to Classical Dynamics The Lagrangian Method Please I need a complete solution of this, thank you.
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
Fig. 6.27
K
(top view)
Transcribed Image Text: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 Fig. 6.27 K (top view)
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