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A trolley of mass 3.0 kg is connected to...

A trolley of mass 3.0 kg is connected to two identical rubber bands each of force constant `600Nm^(-1)` as shown in figure. If the trolley is displaced from an equilibrium position by 5.0 cm and released, what is the period of ensuing oscillations?

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When the trolley is displaced a little to one side, one rubber band gets stretched and provides restoring force whereas othe rband becomes slag and provides no restoring force. Thus the effective restoring force in this case is due to one rubber band.
Hence, force constant, `k=600Nm^(-1) :. T=2pisqrt((m)/(k))=2pisqrt((3)/(600))=0.45s`
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