### Equilibrium of a Truss System**Problem Statement:**The members of a truss are pin connected at joint O. Determine the magnitude of \( F_1 \) and its angle for equilibrium.#### Diagram Description:The diagram shows a truss system with forces acting at specific angles from the pin joint O:- A force of 5 kN is acting in the negative y-direction.- A force of 6 kN is acting in the positive x-direction.- A force of 7 kN is acting at an angle of 30° below the negative x-axis.- An unknown force \( F_1 \) is acting at an angle θ below the positive x-axis.The diagram also depicts an xy-coordinate system with the origin at the pin joint O.#### Steps to Solve:1. **Resolve All Forces into Components:** - For the 5 kN force: only the y-component. - For the 6 kN force: only the x-component. - For the 7 kN force: both x and y-components. - For the unknown force \( F_1 \): dependent on the angle θ.2. **Apply Equilibrium Conditions:** - Sum of all horizontal forces must be zero. - Sum of all vertical forces must be zero.3. **Equations Derived:** - ΣF_x = 0 (Total horizontal forces must balance) - ΣF_y = 0 (Total vertical forces must balance)#### Inputs for Solution:- **Angle and Forces:** - \( F_x = F_1 \cos(θ) - 6 kN + 7\cos(30°) kN = 0 \) - \( F_y = F_1 \sin(θ) - 5 kN - 7\sin(30°) kN = 0 \)**After solving these equations, the magnitude of \( F_1 \) and its angle θ can be determined.**#### Answer SubmissionYour answer: [text box for student's answer]---**Notes:**1. Never submit passwords through Google Forms.2. This form was created inside the University of Mosul. Report Abuse.---By understanding and solving such equilibrium problems, it helps in designing stable and efficient truss structures for various engineering applications.

Let P be the axial force and theta be the angle made by the force with respect to the horizontal…

Answered: 5 kN 70 6KN 30 7 kN

Engineering

Civil Engineering

5 kN 70 6KN 30 7 kN

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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