Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The cargo box as shown weighs W = 1200 lb. The force P = 800 lb is just sufficient to lift the box off the floor. The 2-D concurrent force system of the joint O is shown as well. Using the equilibrium equations: ∑ ???= 0 ; ∑ ???= 0,
1) Determine the tension force in the cable T;
2) Determine the corresponding value of β
Transcribed Image Text:In the diagram, we have a system involving a block suspended from a point \( O \). The block is subjected to three forces:
1. **Tension (\( \vec{T} \))**: This force is acting on the block towards the left, inclined at an angle \( \beta \) from the horizontal line passing through point \( O \).
2. **Force (\( \vec{P} \))**: Acting towards the right, this force forms a right angle with a horizontal component marked as "2" and a vertical component marked as "1".
3. **Weight (\( \vec{W} \))**: This force acts downwards from the block, representing the gravitational force acting on the block.
The vertical axis is labeled \( y \), which likely represents a coordinate system for analyzing the forces. The block is assumed to be in equilibrium, with the tension and horizontal force components balancing out the weight vertically and any horizontal imbalances.
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