The Jshaped member shown in the figureFigure 1 is supported

The J-shaped member shown in the figure(Figure 1) is supported by a cable DE and a single journal bearing with a square shaft at A. Determine the reaction forces Ay and Az at support A required to keep the system in equilibrium. The cylinder has a weight WB = 5.00 lb , and F = 1.80 lb is a vertical force applied to the member at C. The dimensions of the member are w = 1.50 ft , l = 6.00 ft , and h = 2.00 ft .

Express your answers numerically in pounds to three significant figures separated by a comma.

Solution

This problem can be solved with simple logic, ie;

The tension force acted upon the supporting cable in Y direction is zero itself for such a setup.

The the only force acting in Y direction is A_Y.So A_y= 0.

The forces acting in Z direction are A_z, WB and F.

Then (A_z - WB - F) = 0

A_z = WB + F = 5.00 + 1.80 = 6.80lbs.