The robot shown has four degrees of rotational freedom, namely, arm OA rotates about the x and z axes, arm AB rotates about the x axis, and CB rotates about the y axis. At the instant shown, ω2 = 1.5 rad/s, ώ2 = 1 rad/s2, ω3 = 3 rad/s, ώ3 = 0.5 rad/s2, ω4 = 6 rad/s, ώ4 = 3 rad/s2, and ω1, = ώ2 = 0. If the robot does not translate, i.e., v = a = 0, determine the velocity and acceleration of point C at this instant.
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