Problem 3: A thin cylindrical ring starts from rest at a height hj = 79 m. The ring has a radius R = 28 cm and a mass M = 4 kg. R 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 : E = 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 h, = 41 m, what is the velocity of the ring at point 2 in m/s?
Problem 3: A thin cylindrical ring starts from rest at a height hj = 79 m. The ring has a radius R = 28 cm and a mass M = 4 kg. R 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 : E = 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 h, = 41 m, what is the velocity of the ring at point 2 in m/s?
Transcribed Image Text:Problem 3: Athin cylindrical ring starts from rest at a height h7 = 79 m. The ring has
a radius R = 28 cm and a mass M = 4 kg.
R
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 =.
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 =
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.
の=
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 =
2.
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