Harmonic ( Motion + Inequality)

Classical Mechanics Level 5

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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