#78 Determine an equivalent force system consisting

Determine an equivalent force system consisting - Mechanical Engineering

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Free Chegg Question

A weldment is a structure or component built by welding an assembly of pieces together. The weldment shown is subjected to three cable forces. Determine an equivalent force system consisting of a single force, and specify the x coordinate of the point where its line of action intersects the x axis.

Free Chegg Answer

Step 1

Given figure:

Step 2

From the above figure:
Inclination of the force acting at point C with horizontal line,

Inclination of the force acting at point B with horizontal line,

Inclination of the force acting at point A with horizontal line,

Step 3

Applying equations of equilibrium, we have

And,

Therefore, total force about point O,

Step 4

Total moment about point O,

Therefore total moment about point O,

Step 5

Total force acting parallel to y-axis is
Total moment of the above force about point O,

Therefore, the resultant force that strikes the x-axis,