The mechanism shown is one of two identical mechanisms attached to the two sides of a 90-kg uniform rectangular door. Edge ABC of the door is guided by wheels of negligible mass that roll in horizontal and vertical tracks. A spring of constant k is attached to wheel B in such a way that its tension is zero when θ = 30?. Knowing that the door is released from rest in the position θ = 45? and reaches the vertical position with an angular velocity of 0.6 rad/s, determine the spring constant k.

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10 15m