Answer:
wire tension =1003.8N
force in the hinge=894.15N
mass of sign=15.8Kg
Explanation:
Hello!
To solve this problem you must follow the following steps the complete procedure is in the attached images
1. draw the complete free body diagram of the situation
2. Raise Newton's equilibrium equations that establish that for a body to be in equilibrium, the sums of its vertical, horizontal forces and moments with respect to point A must be equal to zero.
3. Use the moment equilibrium equation with respect to point A (see attached image) to find the cable tension.
4. Use the equilibrium equations of vertical and horizontal forces to find the total reaction force on the hinge.
5. Use the equilibrium equation of moments with respect to point A (see attached image) to find the mass of the sign.
Remember to use algebra correctly to find the variables.
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