150 mm B 600 N 150 mm 400 N 150 mm D

A barge is pulled by two tugboats. The barge is aligned horizontally while the rope of tugboat 1 is inclined with the horizontal 0-degrees upward, and rope of tugboat 2 is inclined with the horizontal 'a'-degrees downward. If the resultant of the forces exerted by the tugboats is a 6,261-lb force directed along the axis of the barge and 0=36 degrees, determine the magnitude of the tension (Ib) in rope 1 if a = 51° Answer in 2-decimal places only if applicable, and don't include units. A

please box the answer

4. Reduce the given loading system to a force-couple system at point A. Then determine the distance x to the right of point A at which the resultant of the three forces acts. gON 72ON 200mm 500 mm 450 mm 1200N

120 Rigid Bodies: Equivalent Systems of Forces 3.74 Two parallel 40-N forces are applied to a lever as shown. Deter- mine the moment of the couple formed by the two forces (a) by resolving each force into horizontal and vertical components and adding the moments of the two resulting couples, (b) by using the perpendicular distance between the two forces, (e) by summing the moments of the two forces about point A. 20° 40 N The tw hafts of a sneed-reducer unit are subiected to couples mag d = 1 Ib I ad M "couples with a gle quivalent couple, specifts mag- .ade and the dire 40 N 270 mm w It, respectiv y. Pplace its axis. 55° 390 mm A O Fig. P3.74