Vector Mechanics Problem 3.49 | Max Tension in Cable | Statics Moment | Engineers Academy

🎓 Vector Mechanics Problem 3.49 | Maximum Tension in Cable ABAD | Statics Moment About z-Axis

Problem 3.22:    • Determine the moment about A of the force ...  

In this video, we solve Problem 3.49 from Vector Mechanics for Engineers: Statics (Beer & Johnston). A small boat is supported by two davits, and we analyze one of them to determine the maximum allowable tension in the supporting cable ABAD.

We're given that the moment about the z-axis at point A due to the resultant force must not exceed 279 lb·ft in magnitude. Using vector analysis, we calculate the maximum tension that can be applied without violating this constraint when x = 6 ft.

📌 Topics Covered:

Position and force vectors
Cross product to determine moment
Extracting the z-component of a moment
Solving inequality for maximum allowable tension
🧮 Problem Statement:

"A small boat hangs from two davits, one of which is shown in the figure. It is known that the moment about the z-axis of the resultant force Ry exerted on the davit at A must not exceed 279 lb·ft in absolute value. Determine the largest allowable tension in line ABAD when x = 6 ft."
🔧 Tools Used:

Vector algebra
Cross product
Static equilibrium principles
📘 Textbook Reference:
Vector Mechanics for Engineers: Statics by Beer, Johnston, et al. – Problem 3.49

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