6-5. Consider the surface generated by revolving a line connecting two fixed points (x₁, y₁) and (x, y2) about an axis coplanar with the two points. Find the equation of the line connecting the points such that the surface area generated by the revo- lution (i.e., the area of the surface of revolution) is a minimum
6-5. Consider the surface generated by revolving a line connecting two fixed points (x₁, y₁) and (x, y2) about an axis coplanar with the two points. Find the equation of the line connecting the points such that the surface area generated by the revo- lution (i.e., the area of the surface of revolution) is a minimum
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Book: Classical Dynamics of Particles and Systems
Chapter: Calculus of Variations
Euler-Lagrange Equation
Transcribed Image Text:6-5. Consider the surface generated by revolving a line connecting two fixed points
(x₁, y₁) and (x, y2) about an axis coplanar with the two points. Find the equation
of the line connecting the points such that the surface area generated by the revo-
lution (i.e., the area of the surface of revolution) is a minimum
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