2.12 For a torsional oscillator, show that if the rotor is supported by a solid cylinder (e.g., a wire or a string), the torque and angular frequency of oscillation are given by:τ = Jθω = √(k / I)where:τ is the torque,J is the moment of inertia of the rotor,θ is the angular displacement,ω is the angular frequency of oscillation,k is the torsional spring constant, andI is the moment of inertia of the wire.(The rotor is assumed to have a much greater moment of inertia than the wire.)
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