The cable connecting the winch A to point B on the railroad car in figure is wound in at the constant rate of 2 m. When θ = 60◦ , determine (a) the velocity of B and ˙θ; and (b) the acceleration of B and ¨θ. Neglect the radius of the winch.

This question comprises two independent parts, (a) and (b) (a) In the diagram below, the cable connecting the winch A with point B on the railway carriage is being wound in at a constant rate of 2 m/s. Determine, for the instant in time when the angle θ= 60° (i) The velocity vector of the railway carriage (ii) The acceleration vector of the railway carriage The radius of the winch can be considered negligible. (2 marks) (3 marks) (b) The diagram below shows two rotating ‘driving links, OA and BC, connected by a telescoping link AB. Determine the angular velocity vector of the telescoping link AB when it is in the position shown if the driving links have the angular velocities indicated in the diagram. 150 2 rad/s 45 165 Dimensions in millimeters 60 0 2 rad/s

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