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Work in a rotation field Consider the rotation field F =
Chapter 13, Problem 60E(choose chapter or problem)
Work in a rotation field Consider the rotation field \(\mathbf{F}=\langle-y, x\rangle\) and the three paths shown in the figure. Compute the work done on each of the three paths. Does it appear that the line integral \(\int_{C} \mathbf{F} \cdot \mathbf{T} d s\) is the independent of the path, where C is a path from (1, 0) to (0, 1)?
Questions & Answers
QUESTION:
Work in a rotation field Consider the rotation field \(\mathbf{F}=\langle-y, x\rangle\) and the three paths shown in the figure. Compute the work done on each of the three paths. Does it appear that the line integral \(\int_{C} \mathbf{F} \cdot \mathbf{T} d s\) is the independent of the path, where C is a path from (1, 0) to (0, 1)?
ANSWER:
Solution 60EStep 1 of 6