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

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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Definitions:

Cultural Lag

Is the tendency of symbolic culture to change more slowly than material culture.

Symbolic Culture

The aspects of culture that exist in nonmaterial forms such as language, rituals, values, and norms.

Material Culture

The physical objects, resources, and spaces that people use to define their culture, reflecting the beliefs, customs, and values of a society.

Rationalization

The process of replacing traditional, spontaneous, and emotional forms of thought and action with calculated, efficient, and logical ones, often associated with modern industrial societies.