Question

One end of a uniform 3.40-m-long rod of weight F_g is supported by a cable at an angle of θ = 37° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is μ_s = 0.490. Determine the minimum distance x from point A at which an additional object, also with the same weight F_g, can be hung without causing the rod to slip at point A.

Answer 1

Balaenug the forces about left and : Tx Lx sino = Fyx / + Fg xx - And balaning horizontal forces: N = T Coso o (N. Normal force from the Balering vertical forces: 3 MN + Tsino = fg + Fg - Foma 0,0 4 Ⓡ = 2 Fg xlsino = Fgx ( + x) 1 Sinot uloso 2x 3.4 x Sin 37 Sin 37°+ 0.49 cos 37° - 1.7+ x x=2.42 m Answer