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Determine the force in the cable as a function of 0, needed to support the 100 kg hatch door. 2m 2 m B

Determine the force in the cable as a function of 0, needed to support the 100 kg hatch door. 2m 2 m B

Structural Analysis
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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How would this question go about setting up to find an equation in terms of theta to solve for the force P

**Transcription for Educational Website:** --- **Problem Statement:** Determine the force in the cable as a function of \( \theta \), needed to support the 100 kg hatch door. **Diagram Explanation:** The diagram illustrates a system designed to support a hatch door using a cable mechanism. The components are as follows: - A hatch door with a mass of 100 kg. - A cable connected at point B and passing over a pulley at point C. - The cable is anchored at point P after passing over the pulley. - The hatch door is hinged at point A, located on the horizontal surface. **Key Measurements:** - The distance from point A to point C (vertically under the hinge) is 2 meters. - The length of the hatch door segment AB is 2 meters. - The angle \( \theta \) is between the door and the horizontal plane. The objective is to calculate the force in the cable as it relates to the angle \( \theta \) that the door makes with the horizontal. --- By understanding the geometrical setup, one can apply principles of static equilibrium and trigonometry to find the force required in the cable.
Transcribed Image Text:**Transcription for Educational Website:** --- **Problem Statement:** Determine the force in the cable as a function of \( \theta \), needed to support the 100 kg hatch door. **Diagram Explanation:** The diagram illustrates a system designed to support a hatch door using a cable mechanism. The components are as follows: - A hatch door with a mass of 100 kg. - A cable connected at point B and passing over a pulley at point C. - The cable is anchored at point P after passing over the pulley. - The hatch door is hinged at point A, located on the horizontal surface. **Key Measurements:** - The distance from point A to point C (vertically under the hinge) is 2 meters. - The length of the hatch door segment AB is 2 meters. - The angle \( \theta \) is between the door and the horizontal plane. The objective is to calculate the force in the cable as it relates to the angle \( \theta \) that the door makes with the horizontal. --- By understanding the geometrical setup, one can apply principles of static equilibrium and trigonometry to find the force required in the cable.
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