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Question

A rod of length 1m and mass 5 kg is attached to two springs as shown in figure in vertical plane. The rod is hinged about H point. If there is small angular displacement of rod from vertical position forcing it to do oscillation about H with angular frequency ω, then value of [ω] is : [Given K = 100 N/m and [.] is greatest integer function] ___

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Solution

τH=(KLθ)L+(KL2θ)L2MgL2θ

IHα=5KL2θ4MgL2θ=[5KL24MgL2ML23]θ ω2=5KL4Mg2ML3ω= 5KL4Mg2ML3


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