The 0.8-m arm \(O A\) for a remote-control mechanism is pivoted about the horizontal \(x\)-axis of the clevis, and the entire assembly rotates about the \(z\)-axis with a constant speed \(N=60 \mathrm{rev} / \mathrm{min}\). Simultaneously, the arm is being raised at the constant rate \(\dot{\beta}=4 \mathrm{rad} / \mathrm{s}\). For the position where \(\beta=30^{\circ}\), determine \((a)\) the angular velocity of \(O A,(b)\) the angular acceleration of \(O A,(c)\) the velocity of point \(A\), and \((d)\) the acceleration of point \(A\). If, in addition to the motion described, the vertical shaft and point \(O\) had a linear motion, say, in the \(z\)-direction, would that motion change the angular velocity or angular acceleration of \(O A\) ?

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N- N 0.8 m A x = 30 y