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please give the detailed solution of this .problem as soon as possible

please give the detailed solution of this .problem as soon as possible

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Grade:12th pass

1 Answers

Eshan
askIITians Faculty 2095 Points
5 years ago
Dear student,

Since the springs are in parallel, the equivalent spring constant isk_1+k_2.

For SHM starting from extreme position,

Loss in potential energy= Gain in kinetic energy
\implies \dfrac{1}{2}(k_1+k_2)x^2-\dfrac{1}{2}(k_1+k_2)(\dfrac{x}{4})^2=\dfrac{1}{2}mv^2
\implies v=\sqrt{\dfrac{15(k_1+k_2)}{16m}}x

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