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For the system of forces shown to the right, complete the following: a) Represent force F1 in Cartesian notation b) Represent force F₁ in scalar notation (use cylindrical coordinate directions 0 and y) c) Represent force F₂ in Cartesian notation d) Determine the magnitude of the resultant of the forces 0 120% 60° F₂ = 400 N 45° 35° 25° F₁ = 250 N

For the system of forces shown to the right, complete the following: a) Represent force F1 in Cartesian notation b) Represent force F₁ in scalar notation (use cylindrical coordinate directions 0 and y) c) Represent force F₂ in Cartesian notation d) Determine the magnitude of the resultant of the forces 0 120% 60° F₂ = 400 N 45° 35° 25° F₁ = 250 N

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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**Problem 3** For the system of forces shown to the right, complete the following: a) Represent force \( F_1 \) in Cartesian notation. b) Represent force \( F_1 \) in scalar notation (use cylindrical coordinate directions \(\theta\) and \(\gamma\)). c) Represent force \( F_2 \) in Cartesian notation. d) Determine the magnitude of the resultant of the forces. **Diagram Explanation:** The diagram shows a 3D coordinate system with \( x \), \( y \), and \( z \) axes. Two forces \( F_1 \) and \( F_2 \) are applied at a point. - Force \( F_1 = 250 \, \text{N} \) is directed in the plane defined by angles \( 25^\circ \) from the negative \( y \)-axis and \( 35^\circ \) from the horizontal plane (in \( x-y \)). - Force \( F_2 = 400 \, \text{N} \) acts at a \( 45^\circ \) angle from the positive \( y \)-axis and \( 60^\circ \) from the positive \( z \)-axis. Additionally, the system is anchored to a surface at a \( 120^\circ \) angle relative to the clip holding the forces. The quadrants and angles are depicted for accuracy in determining vector components.
Transcribed Image Text:**Problem 3** For the system of forces shown to the right, complete the following: a) Represent force \( F_1 \) in Cartesian notation. b) Represent force \( F_1 \) in scalar notation (use cylindrical coordinate directions \(\theta\) and \(\gamma\)). c) Represent force \( F_2 \) in Cartesian notation. d) Determine the magnitude of the resultant of the forces. **Diagram Explanation:** The diagram shows a 3D coordinate system with \( x \), \( y \), and \( z \) axes. Two forces \( F_1 \) and \( F_2 \) are applied at a point. - Force \( F_1 = 250 \, \text{N} \) is directed in the plane defined by angles \( 25^\circ \) from the negative \( y \)-axis and \( 35^\circ \) from the horizontal plane (in \( x-y \)). - Force \( F_2 = 400 \, \text{N} \) acts at a \( 45^\circ \) angle from the positive \( y \)-axis and \( 60^\circ \) from the positive \( z \)-axis. Additionally, the system is anchored to a surface at a \( 120^\circ \) angle relative to the clip holding the forces. The quadrants and angles are depicted for accuracy in determining vector components.
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