Replace the force and couple system by an equivalent force and couple moment at point P. Take F₁ = 7 kN and F₂ = 4 kN. (Figure 1) Figure -3 m- 8 kN-m -3 m F₂ 72 4m 5m 13 12 60° A 1 of 1 4 m P ▼ Part A Determine the magnitude of the resultant force. Express your answer to three significant figures and include the appropriate units. FR = Submit Part B 0= ī Submit μA Value Request Answer Determine the angle between the resultant force and the x axis. Express your answer to three significant figures. 15. ΑΣΦ ↓↑ vec Units Request Answer ? °, counted counterclockwise from positive x axis
Plane Trusses
It is defined as, two or more elements like beams or any two or more force members, which when assembled together, behaves like a complete structure or as a single structure. They generally consist of two force member which means any component structure where the force is applied only at two points. The point of contact of joints of truss are known as nodes. They are generally made up of triangular patterns. Nodes are the points where all the external forces and the reactionary forces due to them act and shows whether the force is tensile or compressive. There are various characteristics of trusses and are characterized as Simple truss, planar truss or the Space Frame truss.
Equilibrium Equations
If a body is said to be at rest or moving with a uniform velocity, the body is in equilibrium condition. This means that all the forces are balanced in the body. It can be understood with the help of Newton's first law of motion which states that the resultant force on a system is null, where the system remains to be at rest or moves at uniform motion. It is when the rate of the forward reaction is equal to the rate of the backward reaction.
Force Systems
When a body comes in interaction with other bodies, they exert various forces on each other. Any system is under the influence of some kind of force. For example, laptop kept on table exerts force on the table and table exerts equal force on it, hence the system is in balance or equilibrium. When two or more materials interact then more than one force act at a time, hence it is called as force systems.
Please help with parts a and b for this one question!
![**Review Problem 4.5**
**Task:**
Replace the force and couple system by an equivalent force and couple moment at point \( P \). Take \( F_1 = 7 \text{ kN} \) and \( F_2 = 4 \text{ kN} \). [Figure 1]
**Figure Description:**
The figure illustrates a force system on a two-dimensional plane with the following components:
- An 8 kN·m couple acting clockwise around point \( O \).
- Force \( F_1 \) of 7 kN acting at an angle, with its horizontal and vertical components given as 12 units and 5 units respectively, originating from point \( A \).
- Force \( F_2 \) of 4 kN acting at an angle of 60° from the horizontal line, acting at point \( P \).
- The diagram also highlights distances:
- \( OP = 4 \text{ m} \)
- The vertical distance from line \( OP \) to \( A \) is 5 m.
- The horizontal distance from point \( O \) to point \( A \) is 4 m.
- The horizontal distance from point \( O \) to point \( P \) is 3 m.
**Part A:**
- **Objective:** Determine the magnitude of the resultant force.
- **Instructions:** Express your answer to three significant figures and include the appropriate units.
- **Input Field:**
\[
F_R = \, \text{ [Value] [Units]}
\]
- **Submit Button:** Available
- **Request Answer:** Option available
**Part B:**
- **Objective:** Determine the angle between the resultant force and the \( x \)-axis.
- **Instructions:** Express your answer to three significant figures.
- **Input Field:**
\[
\theta = \, \text{ [Value]}^\circ, \, \text{counted counterclockwise from positive } x \text{ axis}
\]
- **Submit Button:** Available
- **Request Answer:** Option available](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6aa72a1b-7be3-4dcd-bcb5-7886fdb6dafd%2F00b6b67d-1b2f-4863-9ccd-b44ef2ef78b5%2Fqvva8lu_processed.png&w=3840&q=75)
Given Data:
Magnitude of force
Magnitude of force
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