Rotating Bracelet. Enrico owns a circular bracelet of mass m = 23 g and diameter d0 = 6.9 cm, which is made of n identical small beads each connected with massless springs of spring constant nk where k = 0.5 N/m. (a) Through some unknown superpower, Enrico manages to make this bracelet levitate and spin horizontally (i.e. axis of rotation is vertical) with an initial angular velocity of ω = 10 rad/s without touching it. This causes the bracelet to lengthen, increasing its diameter. Despite this, Enrico forces the bracelet to maintain a constant angular velocity. Enrico observes that the diameter of this bracelet initially varies, but after a long time, it settles at a constant value d. For large n, what value does d approach? (b) Enrico repeats what he did previously, but this time, the bracelet no longer maintains a constant angular velocity. Again, Enrico observes that the diameter of this bracelet initially varies, but after a long time, it settles at a constant value d. For large n, what value does d approach?

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Rotating Bracelet. Enrico owns a circular bracelet of mass m = 23 g and diameter d0 = 6.9 cm, which is made of n identical small beads each connected with massless springs of spring constant nk where k = 0.5 N/m.

(a) Through some unknown superpower, Enrico manages to make this bracelet levitate and spin horizontally (i.e. axis of rotation is vertical) with an initial angular velocity of ω = 10 rad/s without touching it. This causes the bracelet to lengthen, increasing its diameter. Despite this, Enrico forces the bracelet to maintain a constant angular velocity. Enrico observes that the diameter of this bracelet initially varies, but after a long time, it settles at a constant value d. For large n, what value does d approach?

(b) Enrico repeats what he did previously, but this time, the bracelet no longer maintains a constant angular velocity. Again, Enrico observes that the diameter of this bracelet initially varies, but after a long time, it settles at a constant value d. For large n, what value does d approach?

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