(2) The uniform door panel weighs 60 lb and is supported by hinges at A and B. A strut C is used to prevent the door from swinging when a horizontal force P = 50 lb is applied perpendicular to the door panel as shown. Determine the compression C in the strut and the magnitudes of the reaction forces normal to the hinge axis at A and B. Ans: C = 100 lb, An = 38.0 lb, B = 45.5 lb 40" 8" 48" 40" x 30" 8 8 A

A basket of flowers of mass 3 kg is placed on a flat grassy slope that makes an angle θ with the horizontal. The coefficient of static friction between the basket and the slope is 0.45 and the basket is on the point of slipping down the slope. Model the basket of flowers as a particle and the grassy slope as a plane. Take the magnitude of the acceleration due to gravity, g, to be 9.8 m s−2 Express the forces in component form, in terms of θ and unknown magnitudes where appropriate. Write down the equilibrium condition for the basket and hence show that tan θ = 0.45. Determine the angle, in degrees, that the slope makes with the horizontal.