5.20 The uniform bar shown in Fig. 5-18 weighs 40 N and is subjected to the forces shown. Find the magnitude. location, and direction of the force needed to keep the bar in equilibrium. Ans. 0.11 KN. 0.682 from right end, at 49" SO N A 80 N FTI 30 0.20 1 0.60 E 0.20 2 1.25 L 0.75 L 760 N 70 N 0.40 KN Fig. 5-18 Fig. 5-19 5.21 The uniform. 120-N board shown in Fig. 5-19 is supported by two ropes as shown. A 0.40-kN weight is suspended one-quarter of the way from the left end. Find Fry Fry, and the angle & made by the left rope. Ans. 0.19 KN. 0.37 kN. 149 5.22 The foot of a ladder rests against a wall and its top is held by a tie rope, as shown in Fig. 5-20. The ladder weighs 100 N. and its center of gravity is 0.40 of its length from the foot. A 150-N child hangs from a rung that is 0.20 of the length from the top. Determine the tension in the tie rope and the components of the force on the foot of the ladder. Ans. Fy = 0.12 kN. Fay = 0.12 kN, For = 0.25 kN Tic rope 0.20 2 1 150 N 500 N Tie rope 37 10ON 0.50 m 3.5 m