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Figure shows a particle mass m = 100g at...

Figure shows a particle mass `m = 100g` attaches with four identical spring , each of length `l = 10 cm` . Initial tension in each spring is `F_(0) = 25 N`. Neglecting gravity , Calculate the period of small oscillation of the particle along a line perpendicular to the plane of the figure .

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Verified by Experts

The correct Answer is:
`100`


For small x we can assume the tension in each spring to reamin constant
`F=-4F_(0)sin theta~~-(4F_(0)x)/l`
`a=-(4F_(0))/(ml)x`
`omega=sqrt((4F_(0))/(mo))=100rads^(-1)`
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