Application of Theory in Inclined Planes

In summary, the conversation discusses different situations involving tensions, forces of gravity, and coordinate systems. There is a question about whether the coordinate system would apply to each force and how it would be applied. Another situation is mentioned involving inclined planes and a question about whether the rotated coordinate system would apply to the forces on an object moving on these planes. There is also a query about whether the Fgx values would be positive or negative according to this system.
  • #1
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Say I have to consider a situation like this:

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Say there are tensions (all the same) on each one and forces of gravity (different) on each one. Would the coordinate system there apply to each one in reference to their forces?

In other words for the first mass, would Fnet = T - Fg1? For the second, Fnet = T - Fg2? For the third, Fnet = T - Fg3? I tried this and I did not get the right answer

Say I have to consider another situation - two inclined planes and an objected from from the first to the second:

YYsbz.png


Would the rotated coordinate system there apply to each force on an object that moves on these planes? In other words, would the Fgx on the left be + and the Fgx on the right be - according to that system?
 
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  • #2
Any ideas?
 
  • #3
Just wondering if anyone's gonna' answer this =[
 

FAQ: Application of Theory in Inclined Planes

What is the theory behind inclined planes?

The theory behind inclined planes is based on the principles of force and motion. It states that an object on an inclined plane will experience less resistance and require less force to move up the plane compared to moving it vertically. This is due to the component of gravity pulling the object down the plane being less than the force of gravity pulling the object straight down.

How is the incline angle of a plane related to the amount of force needed to move an object?

The incline angle of a plane is directly related to the amount of force needed to move an object. As the angle of incline increases, the component of gravity pulling the object down the plane also increases, requiring more force to move the object up the plane.

Can inclined planes be used to increase mechanical advantage?

Yes, inclined planes can be used to increase mechanical advantage. By using a longer incline, the distance over which the object is moved can be increased, reducing the amount of force needed to move the object up the plane. This is known as the mechanical advantage of an inclined plane.

What are some real-world applications of inclined planes?

Inclined planes have many real-world applications, such as ramps for wheelchairs and vehicles, escalators, and slides. They are also used in construction for moving heavy objects and in transportation for loading and unloading cargo.

How do inclined planes affect the work required to move an object?

Inclined planes reduce the amount of work required to move an object compared to moving it vertically. This is because the distance over which the force is applied is longer, resulting in less force needed to move the object. However, the total amount of work done is the same, as the force may be less, but the distance is greater.

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