Determine the angular acceleration \(\dot{\omega}_{2}\) of crank \(A D\) in Sample Problem 7/3 for the conditions cited. Also find the angular acceleration \(\dot{\omega}_{n}\) of link \(A B\).

Problem 7/3

Crank \(C B\) rotates about the horizontal axis with an angular velocity \(\omega_{1}=6 \mathrm{rad} / \mathrm{s}\) which is constant for a short interval of motion which includes the position shown. The link \(A B\) has a ball-and-socket fitting on each end and connects crank \(D A\) with \(C B\). For the instant shown, determine the angular velocity \(\omega_{2}\) of crank \(D A\) and the angular velocity \(\omega_{n}\) of link \(A B\).

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100 mm 50 mm A W2 D Z 100 mm 001 y 100 mm. B VB x