Find the Moment or Center of Mass of the Wire $x$

question 64

Multiple Choice

Find the moment or center of mass of the wire, as indicated.
-Find the moment about the $x$ -axis of a wire of constant density that lies along the curve $y = \frac { x ^ { 3 } } { 3 }$ from $x = 0$ to $x = \sqrt [ 4 ] { 3 }$

• A) \(\frac { 1 } { 12 }\)
• B) \(\frac { 7 } { 18 }\)
• C) \(\frac { 7 } { 12 }\)
• D) \(\frac { 3 } { 4 }\)

---

Definitions:

Observable Characteristics

Traits or features of an individual or entity that are visible and measurable, often used in research and data analysis to draw conclusions or make predictions.

Human Behavior

The spectrum of behaviors and gestures shown by humans as they interact with their surroundings, shaped by culture, feelings, attitudes, and genetic factors.

Core Self-evaluation

A personal assessment that reflects fundamental appraisals about one's self-worth, competency, and capability in various aspects of life.

Personality Traits

Enduring characteristics or qualities that define an individual’s behavior, attitude, and emotional patterns.