To obtain: The value of ∇ ⋅ A .

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Answer 1

Question

Chapter MA, Problem 1.15MA

(i)

To determine

To obtain: The value of ∇⋅A.

(ii)

To determine

To obtain: The value of ∇×A.

(iii)

To determine

To obtain: The value of ∇⋅∇×A.

(iv)

To determine

To obtain: The value of ∇⋅A×B.

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You design a pin joint. The pin is made of a material with the yield strength of 325 MPa and ultimate strength of 500 MPa. The maximum allowed stress in service is expressed as a tensor 0 100 0 σ 100 0 0 MPa 0 0 Evaluate the safety factor SF for stress in this design. Write answer unitless rounding to 2 decimal places and enter decimals even if those are zeros.

Answer 2

Question

Chapter MA, Problem 1.15MA

(i)

To determine

To obtain: The value of ∇⋅A.

(ii)

To determine

To obtain: The value of ∇×A.

(iii)

To determine

To obtain: The value of ∇⋅∇×A.

(iv)

To determine

To obtain: The value of ∇⋅A×B.

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Answer 3

Question

Chapter MA, Problem 1.15MA

(i)

To determine

To obtain: The value of ∇⋅A.

(ii)

To determine

To obtain: The value of ∇×A.

(iii)

To determine

To obtain: The value of ∇⋅∇×A.

(iv)

To determine

To obtain: The value of ∇⋅A×B.

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Answer 4

Question

Chapter MA, Problem 1.15MA

(i)

To determine

To obtain: The value of ∇⋅A.

(ii)

To determine

To obtain: The value of ∇×A.

(iii)

To determine

To obtain: The value of ∇⋅∇×A.

(iv)

To determine

To obtain: The value of ∇⋅A×B.

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Answer 5

Chapter MA, Problem 1.15MA

(i)

To determine

To obtain: The value of ∇⋅A.

(ii)

To determine

To obtain: The value of ∇×A.

(iii)

To determine

To obtain: The value of ∇⋅∇×A.

(iv)

To determine

To obtain: The value of ∇⋅A×B.

Answer 6

Chapter MA, Problem 1.15MA

(i)

To determine

To obtain: The value of ∇⋅A.

Answer 7

Chapter MA, Problem 1.15MA

(i)

To determine

To obtain: The value of ∇⋅A.

Answer 8

(ii)

To determine

To obtain: The value of ∇×A.

Answer 9

(ii)

To determine

To obtain: The value of ∇×A.

Answer 10

(iii)

To determine

To obtain: The value of ∇⋅∇×A.

Answer 11

(iii)

To determine

To obtain: The value of ∇⋅∇×A.

Answer 12

(iv)

To determine

To obtain: The value of ∇⋅A×B.

Answer 13

(iv)

To determine

To obtain: The value of ∇⋅A×B.

Answer 14

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Answer 15

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Answer 16

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Answer 17

Ch. MA - Prob. 1.1MA Ch. MA - Prob. 1.2MA Ch. MA - Prob. 1.3MA Ch. MA - Prob. 1.4MA Ch. MA - Prob. 1.5MA Ch. MA - Prob. 1.6MA Ch. MA - Prob. 1.7MA Ch. MA - Prob. 1.8MA Ch. MA - Prob. 1.9MA Ch. MA - Prob. 1.10MA

To obtain: The value of ∇ ⋅ A .

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To obtain: The value of ∇⋅A.

To obtain: The value of ∇×A.

To obtain: The value of ∇⋅∇×A.

To obtain: The value of ∇⋅A×B.

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Chapter MA Solutions