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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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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