17-69. The door will close automatically using torsional

Chapter 18, Problem 17-69

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17-69. The door will close automatically using torsional springs mounted on the hinges. Each spring has a stiffness A: = 50 N-m/rad so that the torque on each hinge is M = (500) N m, where 0 is measured in radians. If the door is released from rest when it is open at 0 = 90, determine its angular velocity at the instant 0 = 0. For the calculation, treat the door as a thin plate having a mass of 70 kg.

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