A Spring with a Mass Of $9 \mathrm {~kg}$ Has Damping Constant 28 and Spring Constant 192

question 36

Multiple Choice

A spring with a mass of $9 \mathrm {~kg}$ has damping constant 28 and spring constant 192 . Find the damping constant that would produce critical damping.

• A) \(c = 288 \sqrt { 3 }\)
• B) \(c = 48 \sqrt { 3 }\)
• C) \(c = 2304\)
• D) \(c = 9 \sqrt { 192 }\)
• E) \(c = 192 \sqrt { 9 }\)

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Definitions:

Dynein

A motor protein in cells which uses the energy from ATP to transport cellular cargo along microtubules towards the cell's nucleus.

Microtubules

Hollow, cylindrical fibers consisting of tubulin protein subunits; major components of the cytoskeleton and found in mitotic spindles, cilia, flagella, centrioles, and basal bodies.

ATP

Adenosine triphosphate, an organic compound that provides energy to drive many processes in living cells.

Eukaryotic Flagellum

Eukaryotic Flagellum refers to a lash-like appendage that protrudes from the cell body of certain eukaryotic cells, used primarily for locomotion.