# Harmonic ( Motion + Inequality)

In the given arrangement there are four springs with constants $$k_1,k_2,k_3$$ and $$k_4$$ (as shown in the figure). The block of mass $$m=1$$ kg is slightly displaced from its mean position. Find the minimum possible value of the period of the simple harmonic motion of this system.

Assumptions and Details

• $$k_{1}+k_{2}+k_{3}+k_{4}=4 \pi^2$$
• Assume all pulleys are ideal.
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