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?
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
(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?
Step by step
Solved in 3 steps