Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
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

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.
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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