Question

replace the loading system (figure 1) by an equivalent resultant force and couple moment acting at point a. assume f1 = 150 lb, f2 = 250 lb, and f3 = 200 lb.
part a
determine the magnitude of the resultant force.
express your answer to three significant figures and include the appropriate units.
fr =
value
units
incorrect; try again; 2 attempts remaining

Explanation:

Step1: Resolve forces in x - direction

Sum of forces in x - direction: $F_{Rx}=\sum F_x=-F_1 - F_3=-150 - 200=-350$ lb

Step2: Resolve forces in y - direction

Sum of forces in y - direction: $F_{Ry}=\sum F_y = F_2=250$ lb

Step3: Calculate the magnitude of the resultant force

Use the formula $F_R=\sqrt{F_{Rx}^2 + F_{Ry}^2}=\sqrt{(- 350)^2+250^2}=\sqrt{122500 + 62500}=\sqrt{185000}\approx430$ lb

Answer:

$F_R = 430$ lb