A block of mass \( m \) is attached to three springs \( A, B \) and...

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A block of mass \( m \) is attached to three springs \( A, B \) and \( C \) having force constants \( \mathrm{k}, \mathrm{k} \) and \( 2 \mathrm{k} \) respectively as shown in figure. If the block is slightly pushed against spring \( \mathrm{C} \). If the angular frequency of oscillations is \( \sqrt{\frac{N k}{m}} \), then find \( \mathrm{N} \). The system is placed on horizontal smooth surface.
\( \mathrm{P} \)
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