Let F be a smooth 2-dimensional vector field defined on an open set U in the plane containing a point P. Let r(t) be the field line of F that passes through P. Assume that: • F has constant magnitude 1 on a neighbourhood of P, ● the field line r(t) has curvature a at P. Find the curl of F at P. Prove your answer.
Let F be a smooth 2-dimensional vector field defined on an open set U in the plane containing a point P. Let r(t) be the field line of F that passes through P. Assume that: • F has constant magnitude 1 on a neighbourhood of P, ● the field line r(t) has curvature a at P. Find the curl of F at P. Prove your answer.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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