Solve the Problem $s ( t ) = \sin \sqrt { \frac { k } { m } } t$

question 77

Multiple Choice

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

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

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