$$\text { Find the required quantity given the wire that lies along the curve } r \text { and has density } \delta .$$

question 97

Multiple Choice

$$\text { Find the required quantity given the wire that lies along the curve } r \text { and has density } \delta .$$
-Moment of inertia $I _ { x }$ about the $x$ -axis, where $\mathbf { r } ( t ) = \frac { 10 } { 3 } \sqrt { 2 } t 3 / 2 \mathbf { i } + ( 5 t \cos t ) j + ( 5 t \sin t ) \mathbf { k } , 0 \leq t \leq 1$ ; $\delta ( x , y , z ) = \frac { 9 } { y ^ { 2 } + z ^ { 2 } }$

• A) \(\mathrm { I } _ { \mathrm { X } } = 45\)
• B) \(\mathrm { I } _ { \mathrm { X } } = 0\)
• C) \(I _ { X } = 90\)
• D) \(\mathrm { I } _ { \mathrm { x } } = \frac { 135 } { 2 }\)

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