At the instant shown, the base of the robotic arm is turning about the z axis with angular velocity ω₁, which is increasing at ω'₁. Also, the boom segment BC is rotating at constant rate ω_BC. Determine the velocity and acceleration of the part C held in its grip at this instant.

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Given: 00] = 4 co'] = 3 rad S rad 2 OBC= 8. rad S a = 0.5 m b = 0.7 m