QJEEM24Ph4be5: JEE Main 2024 Physics - Class 11 JEEM24Ph4be5 Solution: The time period of simple harmonic motion of mass M in the…

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The time period of simple harmonic motion of mass $M$ in the given figure is $π \sqrt{\frac{α M}{5 k}}$ , where the value of $α$ is _________.

JEE Main 2024 (Online) 31st January Evening Shift Physics - Simple Harmonic Motion Question 19 English

Accepted Answer

$k_{eq} = \frac{2 k \cdot k}{3 k} + k = \frac{5 k}{3}$

Angular frequency of oscillation $(ω) = \sqrt{\frac{k_{eq}}{m}}$

$(ω) = \sqrt{\frac{5 k}{3 m}}$

Period of oscillation $(τ) = \frac{2 π}{ω} = 2 π \sqrt{\frac{3 m}{5 k}}$

$= π \sqrt{\frac{12 m}{5 k}}$

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