Questions
The angular frequency of oscillation for a particle executing angular oscillations with couple per unit twist of c is
detailed solution
Correct option is C
For a body executing simple harmonic motion, Restoring torque acting on it after a small displacement θ, about an axis,τ=−cθ We know that this results in angular oscillations which can be also related by the equation τ=Iα Equating the above two we get −cθ=IαWhere for angular oscillations α=−ω2θHence −cθ=−Iω2θSimplifying this c=Iω2Hence ω=cITalk to our academic expert!
Similar Questions
An sphere of moment of inertia 4 kg/m2 passing through the diameter. It is suspended from a steel wire of negligible mass, whose couple per unit twist is 81 Nm/rad. It is allowed to execute small angular oscillations. The angular frequency of oscillation is
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