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Find the curl, V x F, for the following forces: (a) F =
Chapter 4, Problem 4.20(choose chapter or problem)
Find the curl, \(\nabla \times \mathbf{F}\), for the following forces:
(a) F = kr;
(b) \(\mathbf{F}=\left(A x, B y^{2}, C z^{3}\right)\);
(c) \(\mathbf{F}=\left(A y^{2}, B x, C z\right)\), where A, B, C and k are constants.
Questions & Answers
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QUESTION:
Find the curl, \(\nabla \times \mathbf{F}\), for the following forces:
(a) F = kr;
(b) \(\mathbf{F}=\left(A x, B y^{2}, C z^{3}\right)\);
(c) \(\mathbf{F}=\left(A y^{2}, B x, C z\right)\), where A, B, C and k are constants.
ANSWER:Step 1 of 4
(a)
The force can be given as,
\(\mathbf{F}=k \mathbf{r}\)
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