Resolving Horizontal Force F: Explanation and Process

In summary, the conversation discusses resolving a horizontal force F along a black member using the blue triangle and questioning why the resulting components differ from those determined by resolving down the member from the red triangle. It is noted that the coordinate system for the blue triangle may be non-Cartesian, with non-perpendicular axes.
  • #1
Kalus
37
0
Ok, this is a stupid question, but which way can I resolve the force F acting horizontally?

[PLAIN]http://img843.imageshack.us/img843/2646/vectorsw.jpg [Broken]

If I want to resolve the force F along the black member, then why does force along the black member if resolved using the blue triangle differ from the resolving down the member from the red triangle?

Thanks :)
 
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  • #2
If F is the vector you want to resolve into components, then those components will be different for different coordinate systems.

It would appear that for your blue triangle, if the blue lines are meant to represent components, that the coordinate system is non-Cartesian in that the axes are not perpendicular.
 

1. What is horizontal force F?

Horizontal force F is a type of force that acts on an object in a horizontal direction, meaning it is applied parallel to the surface the object is on. This force can either push or pull an object, causing it to move horizontally.

2. Why is it important to resolve horizontal force F?

Resolving horizontal force F is important in order to understand the motion of an object. By breaking down the horizontal force into its components, we can determine the direction and magnitude of the force, which can help us predict the movement of the object.

3. What is the process of resolving horizontal force F?

The process of resolving horizontal force F involves breaking down the force into its horizontal and vertical components. This can be done using trigonometric functions, such as sine and cosine, to calculate the magnitude and direction of each component.

4. How does resolving horizontal force F relate to Newton's laws of motion?

Newton's first law of motion states that an object will remain at rest or in uniform motion unless acted upon by an external force. Resolving horizontal force F helps us understand the external forces acting on an object, which can then be used to determine its motion according to Newton's laws.

5. What are some real-life applications of resolving horizontal force F?

Resolving horizontal force F is used in various fields, such as engineering, physics, and mechanics. It is used to design structures, calculate the force needed to move objects, and predict the motion of projectiles. It is also used in sports, such as in the game of billiards where players use the concept of resolving forces to control the direction of the ball.

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