Find the Center of Mass of a Thin Plate of Constant

question 77

Multiple Choice

Find the center of mass of a thin plate of constant density covering the given region.
-The region bounded by $y = 8 - x$ and the axes

• A) \(\bar { x } = \frac { 8 } { 3 } , \bar { y } = \frac { 8 } { 3 }\)
• B) \(\bar { x } = 8 , \bar { y } = 8\)
• C) \(\bar { x } = 32 , \bar { y } = 32\)
• D) \(\bar { x } = \frac { 256 } { 3 } , \bar { y } = \frac { 256 } { 3 }\)

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Definitions:

Cross Bridge

A myosin projection on a muscle cell that connects with actin to contract muscle fibers, fundamental in muscle contraction.

Opposite Direction

Referring to a movement, orientation, or action that is directly contrary or reverse to another.

Creatine Phosphate

A high-energy reserve molecule in muscles and the brain that donates phosphate to ADP to regenerate ATP during the first seconds of intense work.

ATP

Adenosine triphosphate (ATP) is a complex organic chemical that provides energy to drive many processes in living cells.