When a $\backslash (35-\backslash$mathrm$\{$lb$\}\backslash )$ weight is suspended from a spring, the spring is stretched a distance of $10$ in$.$

Part A

Determine the natural frequency of vibration for a $\backslash (10-\backslash$mathrm$\{$lb$\}\backslash )$ weight attached to the same spring.

Express your answer to three significant figures and include the appropriate units.

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Part B

Determine the period of vibration for a $\backslash (10-\backslash$mathrm$\{$lb$\}\backslash )$ weight attached to the same spring.

Express your answer to three significant figures and include the appropriate units.

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