Components of a machine (not shown in the figure are actuated by motion of a threaded co...

Components of a machine (not shown in the figure are actuated by motion of a threaded collar C that slides on a fi ed bar DEFGHI. Segment DE of the bar is straight and vertical, segment FG is straight where the coordinated of points F and G are given in the figure and segment HI is straight and horizontal. The collar’s motion is controlled by screw AB, which is turned by the motor at point A. If the force in the screw is 50 N compression, use the dot product to determine the component of the screw force in the direction of the bar for the positions of the collar given below. Also determine the component of the screw force perpendicular to the bar.

(a) Collar C is 2 mm below point E.

(b) Collar C is 1/3 the distance from point F to point G.