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

question 52

Multiple Choice

Find the moment or center of mass of the wire, as indicated.
-Find the moment about the $y$ -axis of a wire of constant density that lies along the curve $y = x ^ { 2 }$ from $x = 0$ to $x = \sqrt { 2 }$

• A) 2
• B) \(\frac { 9 } { 4 }\)
• C) \(\frac { 13 } { 6 }\)
• D) \(\frac { 5 } { 2 }\)

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Definitions:

Absentee Landlord

A property owner who does not live on-site and rarely, if ever, visits the property, often relying on management companies for maintenance.

Cribriform Plate

A portion of the ethmoid bone with numerous small holes that provide passage for the olfactory nerve fibers from the nasal cavity to the brain.

Olfactory Nerve

The first cranial nerve, responsible for the sense of smell, transmitting sensory information from the nose to the brain.

Glossopharyngeal

Relating to the ninth cranial nerve, which is involved in taste sensation and swallowing.