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Four coplanar forces act as shown. Calculate the moment of each force about point O. Calculate the algebra summation of the four moments about point O and determine the sense of rotation.

Four coplanar forces act as shown. Calculate the moment of each force about point O. Calculate the algebra summation of the four moments about point O and determine the sense of rotation.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Four coplanar forces act as shown. Calculate the moment of each force about point O. Calculate the algebra summation of the four moments about point O and determine the sense of rotation.
This image represents a vector force diagram with three forces acting at a point \( O \). - **Coordinates and Angles**: - The point \( O \) is the origin from which all forces are applied. - The horizontal axis is labeled as the \( X \) axis, while the vertical axis is labeled as the \( Y \) axis. - A 90° angle is indicated between the \( X \) and \( Y \) axes. - **Forces**: - **\( F_1 = 30 \) lb**: This force is applied at an angle of 60° from the positive \( X \)-axis. It is directed upwards and to the right. - **\( F_2 = 40 \) lb**: This force is applied at an angle of 45° below the positive \( X \)-axis. It is directed downwards and to the right. - **\( F_3 = 10 \) lb**: This force is directed vertically downward along the \( Y \)-axis. - **Distance**: - A horizontal distance of 4 feet (4'-0") is marked along the \( X \)-axis from point \( O \). This diagram is useful for analyzing the resultant force and moment about the origin, which can be applied in physics and engineering contexts such as static equilibrium analysis.
Transcribed Image Text:This image represents a vector force diagram with three forces acting at a point \( O \). - **Coordinates and Angles**: - The point \( O \) is the origin from which all forces are applied. - The horizontal axis is labeled as the \( X \) axis, while the vertical axis is labeled as the \( Y \) axis. - A 90° angle is indicated between the \( X \) and \( Y \) axes. - **Forces**: - **\( F_1 = 30 \) lb**: This force is applied at an angle of 60° from the positive \( X \)-axis. It is directed upwards and to the right. - **\( F_2 = 40 \) lb**: This force is applied at an angle of 45° below the positive \( X \)-axis. It is directed downwards and to the right. - **\( F_3 = 10 \) lb**: This force is directed vertically downward along the \( Y \)-axis. - **Distance**: - A horizontal distance of 4 feet (4'-0") is marked along the \( X \)-axis from point \( O \). This diagram is useful for analyzing the resultant force and moment about the origin, which can be applied in physics and engineering contexts such as static equilibrium analysis.
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