Question

A bar AB weighing 1000 N is supported by a post (CD) embedded in the ground and a cable. The post weighs 250 N. Assume that all surfaces are smooth and that member EG acts like a two-force member.

Answer 1

To find the tension in the supporting cable and the force at the hi`nge of the strut, we need to apply the principles of equilibrium.

Step-by-step explanation:

To find the tension in the supporting cable and the force at the hi`nge of the strut, we can apply the principles of equilibrium.

Since the strut is uniform, its weight can be assumed to act at its center of mass.

• The formula to determine the force at the hi`nge and the tension in the cable is: ΣF_x = 0 and ΣF_y = 0.
• Using the sum of moments about the hin`ge: 400 N * 3m - T * 4m = 0, where T is the tension in the cable.
• Using the sum of forces in the y-direction: -400 N - 200 N + R_y = 0, where R_y is the force at the hin`ge.

By solving these equations simultaneously, you can find the tension in the supporting cable and the force at the hing`e of the strut.