The bar of weight w is pinned at its center O and connected to a torsional spring.

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The bar of weight w is pinned at its center O and connected to a torsional spring. The spring has a stiffness k, so that the torque developed is M = kθ. If the bar is released from rest when it is vertical at θ = 90°, determine its angular velocity at the instant θ = θ1.imageimage

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