Question

The bottom of the bar is hinged to the wall, and the upper end of the bar is attached to the wall by means of a rope which makes 45 degrees with the wall. If the uniform bar weighs 400 N and makes 60o with the wall, find (a) the tension in the rope and (b) the horizontal and vertical forces exerted by the wall at the pivot.

Answer 1

a)

$$\frac{T}{\sin{60}}=\frac{400}{\sin{180-45-60}}\\T=357\ N$$

b)

$$R_x=357\sin{60}=309\ N\\R_y=400-357\cos{60}=222\ N$$