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7. Consider the Helix: r(t) = (R cost, R sint, Rt), 0 ≤ t ≤ 2π for R a constant. A. Calculate the work in the presence of F = (-y, x,-z) when moving a particle along r(t) from t = 0 to t = 2π. B. Calculate the mass of a wire in the shape of the helix r(t) from t = 0 to t = π with density 8(x, y, z) = x + y.

7. Consider the Helix: r(t) = (R cost, R sint, Rt), 0 ≤ t ≤ 2π for R a constant. A. Calculate the work in the presence of F = (-y, x,-z) when moving a particle along r(t) from t = 0 to t = 2π. B. Calculate the mass of a wire in the shape of the helix r(t) from t = 0 to t = π with density 8(x, y, z) = x + y.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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7. Consider the Helix: r(t) = (R cost, R sint, Rt), 0 ≤ t ≤ 2π for R a constant. A. Calculate the work in the presence of F = (-y, x,-z) when moving a particle along r(t) from t = 0 to t = 2π. B. Calculate the mass of a wire in the shape of the helix r(t) from t = 0 tot = π with density S(x, y, z) = x + y.
Transcribed Image Text:7. Consider the Helix: r(t) = (R cost, R sint, Rt), 0 ≤ t ≤ 2π for R a constant. A. Calculate the work in the presence of F = (-y, x,-z) when moving a particle along r(t) from t = 0 to t = 2π. B. Calculate the mass of a wire in the shape of the helix r(t) from t = 0 tot = π with density S(x, y, z) = x + y.
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