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A thin cylindrical ring starts from rest at a height h 1 = 81 m. The ring has a radius R = 6 cm and
A thin cylindrical ring starts from rest at a height h1 = 81 m. The ring has a radius R = 6 cm and a mass M = 2 kg.
1. If the ring rolls (without slipping) all the way to point 2, what is the ring's energy at point 2 in terms of h2 and v2?
2. Given h2 = 8 m, what is the velocity of the ring at point 2 in m/s?
3. What is the ring's rotational velocity in rad/s at point 2?
4. After passing point 2 the hill becomes frictionless and the ring's rotational velocity remains constant. What is the linear velocity of the ring at point 3 in m/s?
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