Work out Example 7.6 showing all the steps, in particular those leading to Equation 7.36 and 7.41.

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Work out Example 7.6 showing all the steps, in particular those leading to Equation 7.36 and 7.41. Explain why the sign of the acceleration a cannot affect the frequency w. Give an argument why the signs of a2 and g2 in the solution of w2 in Equation 7.42 are the same.
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