A thin cylindrical ring starts from rest at a height h1 = 81 m. The ring has a radius R = 12 cm and a mass M = 2 kg.
Randomized Variablesh1 = 81 m
R = 12 cm
M = 2 kg tox4hnaq.2fu.png
(a) Write an expression for the ring's initial energy at point 1, assuming that the gravitational potential energy at point 3 is zero.
(b) 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?
(c) Given h2 = 14 m, what is the velocity of the ring at point 2 in m/s?
(d) What is the ring's rotational velocity in rad/s?
(e) 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?
