Since we are talking about small oscillations, we have to consider them about the equilibrium position. Let’s call upper spring, spring 1 and lower spring, spring 2. Also assume the equilibrium extensions of springs areand respectively.
Then tension in lower string is. Tension in upper string is.
Now assume that the two springs are extended by and respectively.Then the mass lowers by an amount. Let us calculate restoring force on mass
Again, use
Thus,
Restoring force,
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