A wire is clamped horizontally between two rigid support and a small mass is hanged from middle of the wire. The mass is displaced a little in vertical direction -
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(b, d)
Let 'x' be the displacement from mean position 'P' shown in figure.
Restoring force = 2T sin θ
2.K.x sin 2 θ
= 2.K. 
Thus restoring force α x 3 .
Hence mass will not undergo S.H.M. but it will undergo periodic motion.
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