Question 6

. Static Equilibrium. A ladder with weight w = 200 N and length _ rests against a wall at an angle of 8. The wall is not frictionless. but both the wall and the floor have the same coefficient of static friction , =0.5, and both forces of static friction are maximized f, = f.max, so that they are proportional to their respective normal forces as shown on the given diagram. The ladder may be treated as a uniform beam. Find the angle 8 (the answer is a number between (" and 90). R n F. = Han Hint: first set the net force in the x and y directions to zero and get numerical answers for n and R (if you use u, = 1/2 you can work with fractions instead of using the calculator). Then set the net torque to zero around an axis of your choice and solve for 0. 6