A bolt of mass 10 g is welded tangentially to the end of a
torsion spring with a 4 cm radius. The spring is attached to the
center of the board with the bolt resting horizontally at
equilibrium directly above the center of the spring.
(a) The board is rotated 75⁰, at which time the bolt points
vertically. What is the stiffness of the torsion spring.
(b) If the board is rotated to 90⁰, then what is the angular
extension of the spring in radians?
[Assume the extension is smaller than 15⁰.]
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