Answer to Question #215297 in Physics for Sera

Question

The uniform bar on figure E is rigid and makes 30o with the wall. At the upper end is attached a horizontal rope AB, the other end of the rope being fixed at a point in the wall. A load of 300 kg is hung from the upper end of the bar. If the mass of the bar is 100 Kg, determine (a) the tension in the rope and (b) the force at a point B exerted by the bar

Answer 1

a)

$$T\sin{30}l=Mg\cos{30}l+0.5mg\cos{30}l\\ T\sin{30}=(300)(9.8)\cos{30}+0.5(100)(9.8)\cos{30}\\T=5940\ N$$

b)

$$N=(300)(9.8)\sin{30}+(100)(9.8)\sin{30}\\=1960\ N$$