Find the Flux of the Curl of Field F Through

question 142

Multiple Choice

Find the flux of the curl of field F through the shell S.
- $\mathbf { F } = - 5 \mathrm { zi } - 3 \times \mathbf { j } - 2 \mathrm { yk } ; \mathrm { S } : \mathrm { r } ( \mathrm { r } , \theta ) = \mathrm { r } \cos \theta \mathbf { i } + \mathrm { r } \sin \theta \mathbf { j } + 6 \mathrm { rk } , 0 \leq \mathrm { r } \leq 6$ and $0 \leq \theta \leq 2 \pi$

• A) \(- 108 \pi\)
• B) \(- 108\)
• C) 0
• D) \(108 \pi\)

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Definitions:

Locational Fits

Types of fits defined by standard tolerances that determine how tightly or loosely two parts will connect, particularly regarding their location accuracy.

Mating Parts

Mating parts refer to components designed to fit together within an assembly, requiring precise manufacturing to ensure correct fit and function.

Clearance

The intentional gap or space between two parts or components to ensure they do not interfere with each other, allowing for free movement or assembly.

Mating Parts

Components designed to fit with other parts through various means such as interference fit, sliding fit, or threaded connections.