Determine the Equation of the Graph $s ( t ) = \sin \sqrt { \frac { \mathrm { k } } { \mathrm { m } } } \mathrm { t }$

question 275

Multiple Choice

Determine the equation of the graph.
-The formula for the up and down motion of a weight on a spring is given by $s ( t ) = \sin \sqrt { \frac { \mathrm { k } } { \mathrm { m } } } \mathrm { t }$ . If the spring constant is 5 , then what mass $\mathrm { m }$ must be used in order to produce a period of 6 seconds?

• A) \(\frac { 4 } { \pi ^ { 2 } }\)
• B) \(\frac { 45 } { \pi ^ { 2 } }\)
• C) \(\frac { 5 \pi } { 2 }\)
• D) \(\frac { 2 \pi } { 5 }\)

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Definitions:

Deficiency

The shortfall amount between a debt owed and the proceeds from the sale of assets pledged to secure the debt.

Surplus

The amount of an asset or resource that exceeds the portion that is utilized.

Pennsylvania System

A penal system based on solitary confinement and rehabilitation of the prisoner.

General Contractor

A principal contractor who is responsible for the execution, completion, and day-to-day oversight of a construction project.