### Problem Statement:**Q.2) Determine the components of the 3000 lb force acting along the members BA and BC.**### Diagram Explanation:The diagram showcases a structural frame with two members: BA and BC, which are pinned together at point B, forming an angled structure resting on supports at points A and C. There is a horizontal force of 3000 lb applied at point B. The angles between the members and the horizontal axis at both supports are marked as follows:- Member BA makes an angle of 60° with the horizontal axis at point A.- Member BC makes an angle of 45° with the horizontal axis at point C.### Step-by-Step Solution:To determine the components of the 3000 lb force along members BA and BC, the force can be resolved into components along the directions of these members:1. **Free-Body Diagram:** - Represent the 3000 lb force at point B. - Resolve this force into two components: one along the direction of BA and the other along the direction of BC.2. **Force Components along BA and BC:** - Let the components of the force along BA and BC be \( F_{BA} \) and \( F_{BC} \) respectively. - Use the Law of Sines or trigonometric relationships based on the given angles to determine these components.### Calculations:Using trigonometry, the components can be represented as follows:\[F_{BA} = F \cdot \cos(\theta_{BA})\]\[F_{BC} = F \cdot \cos(\theta_{BC})\]However, due to member directions and angles given:\[F_{BA} = 3000 \cdot \cos(60°)\]\[F_{BC} = 3000 \cdot \cos(45°)\]Where:- \( \cos(60°) = 0.5 \)- \( \cos(45°) = \frac{\sqrt{2}}{2} \approx 0.707 \)### Substituting the values:\[F_{BA} = 3000 \cdot 0.5 = 1500 \, \text{lb}\]\[F_{BC} = 3000 \cdot 0.707 \approx 2121 \, \text{lb

Lami's theorem: According to this theorem, when three coplanar and concurrent forces are in static…

Answered: B 3000 lb 60° 45°

Engineering

Mechanical Engineering

B 3000 lb 60° 45°

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter5: Three-dimensional Equilibrium

Section: Chapter Questions

Problem 5.39P: The bent rod of negligible weight is supported by the ball-and-socket joint at B and the cables...

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