The 4 -ft slender bar weighs \(40 \mathrm{lb}\) with mass center at \(B\) and is released from rest in the position for which \(\theta\) is essentially zero. Point \(B\) is confined to move in the smooth vertical guide, while end \(A\) moves in the smooth horizontal guide and compresses the spring as the bar falls. Determine (a) the angular velocity of the bar as the position \(\theta=30^{\circ}\) is passed and (b) the velocity with which \(B\) strikes the horizontal surface if the stiffness of the spring is \(30 \mathrm{lb} / \mathrm{in}\).

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