Problem

Question 2
$\frac{17}{36} M a^{2}$
$\frac{1}{3} M a^{2}$
$\frac{5}{12} M a^{2}$
$\frac{1}{6} M a^{2}$

Answer

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Answer

Final Answer: \(\boxed{\frac{25}{18} M a^{2}}\)

Steps

Step 1 :The given expressions are \(\frac{17}{36} M a^{2}\), \(\frac{1}{3} M a^{2}\), \(\frac{5}{12} M a^{2}\), and \(\frac{1}{6} M a^{2}\).

Step 2 :We notice that all these expressions have the same variable part, \(M a^{2}\). Therefore, we can add these expressions by adding their coefficients.

Step 3 :The coefficients are \(\frac{17}{36}\), \(\frac{1}{3}\), \(\frac{5}{12}\), and \(\frac{1}{6}\).

Step 4 :The sum of these coefficients is \(\frac{25}{18}\).

Step 5 :Therefore, the sum of the given expressions is \(\frac{25}{18} M a^{2}\).

Step 6 :Final Answer: \(\boxed{\frac{25}{18} M a^{2}}\)

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