4. Find the mass and center of mass of a wire in the shape of the helix x = t, y = cost, z = sint, 0≤t≤ 2π if the density at any point is equal to the square of the distance from the origin. (Hint: square of distance is (x² + y² + z²))

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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4.
Find the mass and center of mass of a wire in the shape of the helix x = t, y = cost, z = sint, 0≤t≤ 2π
if the density at any point is equal to the square of the distance from the origin. (Hint: square of distance is
(x² + y² + z²))
Transcribed Image Text:4. Find the mass and center of mass of a wire in the shape of the helix x = t, y = cost, z = sint, 0≤t≤ 2π if the density at any point is equal to the square of the distance from the origin. (Hint: square of distance is (x² + y² + z²))
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