Activity 2 You are asked to analyze a mechanical system. To do the analysis, you must study the forces on the design and its dynamic response, The system is affected by three forces as shown. F₁ - 50 N R 30° F₂=75 N 45° F3-50 N Solve the following: 1. Find the unit vectors for all forces, and represent them in terms of the unit vectors î and ĵ. 2. Find the vector representations of all forces in terms of the unit vectors î, and J. 1 3. Find the resultant force FR,such that FR = F₂ +Ē₂ +F3 in terms of the unit vectors î and J. 4. Find the magnitude FR and angle (Ø) from the positive x-axis for the resultant vector FR

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Activity 2
You are asked to analyze a mechanical system. To do the analysis, you must study the forces on the design
and its dynamic response, The system is affected by three forces as shown.
F₁ - 50 N
R
30°
F₂=75 N
45°
F3-50 N
Solve the following:
1. Find the unit vectors for all forces, and represent them in terms of the unit vectors î and ĵ.
2. Find the vector representations of all forces in terms of the unit vectors î, and J.
1
3. Find the resultant force FR,such that FR = F₂ +Ē₂ +F3 in terms of the unit vectors î and J.
4. Find the magnitude FR and angle (Ø) from the positive x-axis for the resultant vector FR
Transcribed Image Text:Activity 2 You are asked to analyze a mechanical system. To do the analysis, you must study the forces on the design and its dynamic response, The system is affected by three forces as shown. F₁ - 50 N R 30° F₂=75 N 45° F3-50 N Solve the following: 1. Find the unit vectors for all forces, and represent them in terms of the unit vectors î and ĵ. 2. Find the vector representations of all forces in terms of the unit vectors î, and J. 1 3. Find the resultant force FR,such that FR = F₂ +Ē₂ +F3 in terms of the unit vectors î and J. 4. Find the magnitude FR and angle (Ø) from the positive x-axis for the resultant vector FR
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