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Problem 3: A thin cylindrical ring starts from rest at a height h, = 82 m. The ring has a radius R = 18 cm and a mass M = 5 kg. R 2 h, h, Part (a) Write an expression for the ring's initial energy at point 1, assuming that the gravitational potential energy at point 3 is zero. Expression: E1 = igh, Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, a, d, g, h1, h2, j, k, M, P, t, v1, v2 Part (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? Expression : E2 = Select from the variables below to write your expression. Note that all variables may not be required. a, ß, 0, a, d, g, h1, h2, j, k, M, P, t, v1, V2 Part (c) Given h2 = 41 m, what is the velocity of the ring at point 2 in m/s? Numeric A numeric value is expected and not an expression. V2 = 20.05 Part (d) What is the ring's rotational velocity in rad/s at point 2? Numeric : A numeric value is expected and not an expression. 0 = 11.3 Part (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? Numeric Anumeric value is expected and not an expression. V3 =

Problem 3: A thin cylindrical ring starts from rest at a height h, = 82 m. The ring has a radius R = 18 cm and a mass M = 5 kg. R 2 h, h, Part (a) Write an expression for the ring's initial energy at point 1, assuming that the gravitational potential energy at point 3 is zero. Expression: E1 = igh, Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, a, d, g, h1, h2, j, k, M, P, t, v1, v2 Part (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? Expression : E2 = Select from the variables below to write your expression. Note that all variables may not be required. a, ß, 0, a, d, g, h1, h2, j, k, M, P, t, v1, V2 Part (c) Given h2 = 41 m, what is the velocity of the ring at point 2 in m/s? Numeric A numeric value is expected and not an expression. V2 = 20.05 Part (d) What is the ring's rotational velocity in rad/s at point 2? Numeric : A numeric value is expected and not an expression. 0 = 11.3 Part (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? Numeric Anumeric value is expected and not an expression. V3 =

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Please answer part b and e, other parts answered
Problem 3: A thin cylindrical ring starts from rest at a height h = 82 m. The ring has a radius R = 18 cm and a mass M = 5 kg. R h, h, 3 Part (a) Write an expression for the ring's initial energy at point 1, assuming that the gravitational potential energy at point 3 is zero. Expression : E1 = "Mgh Select from the variables below to write your expression. Note that all variables may not be required. а, В, ө, а, d, g, h, hz.j. k, M, P, t, vj, V2 Part (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? Expression : E2 = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, a, d, g, h1, h2, j, k, M, P, t, v1, V2 Part (c) Given h, = 41 m, what is the velocity of the ring at point 2 in m/s? Numeric : A numeric value is expected and not an expression. V2 = 20.05 Part (d) What is the ring's rotational velocity in rad/s at point 2? Numeric : A numeric value is expected and not an expression. O = Part (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? Numeric : A numeric value is expected and not an expression. V3 =
Transcribed Image Text:Problem 3: A thin cylindrical ring starts from rest at a height h = 82 m. The ring has a radius R = 18 cm and a mass M = 5 kg. R h, h, 3 Part (a) Write an expression for the ring's initial energy at point 1, assuming that the gravitational potential energy at point 3 is zero. Expression : E1 = "Mgh Select from the variables below to write your expression. Note that all variables may not be required. а, В, ө, а, d, g, h, hz.j. k, M, P, t, vj, V2 Part (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? Expression : E2 = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, a, d, g, h1, h2, j, k, M, P, t, v1, V2 Part (c) Given h, = 41 m, what is the velocity of the ring at point 2 in m/s? Numeric : A numeric value is expected and not an expression. V2 = 20.05 Part (d) What is the ring's rotational velocity in rad/s at point 2? Numeric : A numeric value is expected and not an expression. O = Part (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? Numeric : A numeric value is expected and not an expression. V3 =
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