A 17.0-m-high and 11.0-m-long wall under construction and its bracing are shown in Figure 9.32. The wall is in stable equilibrium without the bracing but can pivot at its base. Calculate the force exerted by each of the 10 braces if a strong wind exerts a horizontal force of 650 N on each square meter of the wall. Assume that the net force from the wind acts at a height halfway up the wall and that all braces exert equal forces parallel to their lengths. Neglect the thickness of the wall.
Solution 10PE Step-by-step solution Step 1 of 3 Consider the pivot point at the base of the wall. There are four force acting on the base of wall, ,10 times (the ten braces), the normal force and the weight of the wall. Step 2 of 3 Take the second condition of equilibrium, the net applied torque around the pivot point is zero. Here, is the angle at which braces are inclined with wall, is vertical distance on wall from ground at which is acting. Substitute 8.5 cm for and for .