What is the equation for calculating resultant force in Engineering Statics?

In summary, the conversation discusses finding the resultant force and angle between two forces using the equation F^2 (resultant) = F1^2 + F2^2 -2F1F2cos(theta). The speaker shares their attempt at solving for the magnitude and asks for help with finding the angle. Another speaker suggests using symmetry to find the angle and provides a general equation for finding the angle between two vectors. The conversation concludes with agreement that in this case, the angle is theta/2.
  • #1
narutoish
25
0

Homework Statement


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Homework Equations



F^2 (resultant ) = F1^2 + F2^2 -2F1F2cos(theta)

The Attempt at a Solution



i calculated the magnitude using the equation above and it ended up being :

F (resultant) = F sqrt(2-2cos(theta))

i don't know how to solve for the angle.
 
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  • #2
Well in this particular case you can use symmetry (the magnitude of the forces are the same) to find it out.

In general, you could find the angle between two angles by solving for ##\phi## in this equation: [itex]\vec a\cdot \vec b=|a||b|cos\phi[/itex]
(Of course, you would want to use some coordinate system to find ##\vec a\cdot \vec b##)
 
  • #3
So in this case we say it's theta/2?
 
  • #4
narutoish said:
So in this case we say it's theta/2?
Yep
 

FAQ: What is the equation for calculating resultant force in Engineering Statics?

What is Engineering Statics?

Engineering Statics is a branch of engineering mechanics that deals with the study of forces acting on stationary objects. It involves analyzing the equilibrium of forces and moments on rigid bodies to determine their stability and motion.

What are the key principles of Engineering Statics?

The key principles of Engineering Statics include the concept of equilibrium, which states that the sum of all forces and moments acting on a stationary object is equal to zero. Other key principles include the use of free body diagrams, calculation of forces and moments using vector algebra, and the application of Newton's laws of motion.

How is Engineering Statics used in real-life applications?

Engineering Statics is used in various real-life applications, such as designing structures and machines, analyzing the stability of bridges and buildings, and determining the forces acting on different components in mechanical systems. It is also used in fields like civil, mechanical, and aerospace engineering to ensure the safety and efficiency of structures and machines.

What are some common challenges in solving Engineering Statics problems?

Some common challenges in solving Engineering Statics problems include identifying all the forces and moments acting on a body, understanding the direction and magnitude of these forces, and applying the correct equations and principles. It also requires a strong foundation in mathematics and physics.

How can I improve my skills in Engineering Statics?

To improve your skills in Engineering Statics, it is important to practice solving various types of problems and understanding the underlying concepts. You can also attend workshops or courses, join study groups, and seek guidance from experienced engineers. Additionally, staying updated with new developments and technologies in the field can also help improve your skills.

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