Velocity and acceleration transformation: A horizontal bar rotates with the constant angular velocity ω about a vertical axis which is fixed to a table and passes through one of the ends of that bar. A small coupling moves along the bar. Its velocity relative to the bar obeys the law v' = ar where a is a constant and r is the radius vector determining the distance between the coupling and the rotation axis. Find: (1) the velocity v and the acceleration α of the coupling relative to the table and depending on r; (2) the angle between the vectors v and α in the process of motion

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