The Masses $m _ { i }$ Are Located at the Point

question 20

Multiple Choice

The masses $m _ { i }$ are located at the point $P _ { 1 }$ . Find the moments $M _ { x }$ and $M _ { y }$ and the center of mass of the system. $m _ { 1 } = 3 , m _ { 2 } = 7 , m _ { 3 } = 111$ ; $$P _ { 1 } ( 1,5 ) , P _ { 2 } ( 3 , - 2 ) , P _ { 3 } ( - 2 , - 1 )$$

• A) \(M _ { x } = 18 , M _ { y } = 44 , \left( \frac { 44 } { 21 } , \frac { 18 } { 21 } \right)\)
• B) \(M _ { x } = 44 , M _ { y } = 18 , \left( \frac { 44 } { 21 } , \frac { 18 } { 21 } \right)\)
• C) \(M _ { x } = 18 , M _ { y } = 44 , \left( \frac { 18 } { 21 } , \frac { 44 } { 21 } \right)\)
• D) \(M _ { x } = 44 , M _ { y } = - 18 , \left( - \frac { 44 } { 21 } , \frac { 18 } { 21 } \right)\)
• E) \(M _ { x } = - 44 , M _ { y } = 18 , \left( \frac { 44 } { 21 } , - \frac { 18 } { 21 } \right)\)

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Definitions:

Ototoxic

Refers to substances that can cause temporary or permanent hearing loss or balance disorders due to damage to the inner ear.

Stapes

The smallest bone in the human body, located in the middle ear, and is involved in the conduction of sound vibrations to the inner ear.

Osseous Obstruction

A blockage or impediment within bone structures, often leading to reduced function or pain.

Eustachian Tube

A narrow tube that connects the middle ear to the throat, helping to maintain equal air pressure on both sides of the eardrum.