Does the normal always equal weight, if on a non-inclined plane?

AI Thread Summary
The normal force does not always equal the weight on a non-inclined plane, especially when additional forces are applied. For example, if a person pulls on a box with a rope at an angle, the normal force will differ from the weight due to the vertical component of the pulling force. This means that the normal force must be included in the sum of the y-axis components to ensure accurate calculations of net forces. If the normal force equaled the weight in such scenarios, it would lead to vertical acceleration, which is not the case. Understanding the relationship between normal force and weight is crucial for solving problems involving applied forces.
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Homework Statement


Does the normal always equal the weight, if on a non-inclined plane?

This is just a general question that I have about normal and weight forces... I was wondering because when I'm breaking up the net forces into components, I was wondering if I should always include the normal and weight, even if its on a non-inclined plane.

Essentially, I'm asking, does the normal=weight on a non-inclined plane if the plane IS NOT frictionless? If the normal=weight, then why do I still need to include it in the sum of the components on the y-axis?


Homework Equations


Fnet=ma


The Attempt at a Solution


Doesn't require a solution, its just a conceptual question
 
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No, the normal force does not always just equal the weight, even on non-inclined planes. Suppose you have a problem where a person is pulling on a box with a rope that is angled at 45 degrees above the horizontal. While the box is not on an inclined plane, the normal force will not in this instance equal the weight. Hopefully this makes sense.
 
jgens said:
No, the normal force does not always just equal the weight, even on non-inclined planes. Suppose you have a problem where a person is pulling on a box with a rope that is angled at 45 degrees above the horizontal. While the box is not on an inclined plane, the normal force will not in this instance equal the weight. Hopefully this makes sense.

Thanks, that really helps a lot. It also really makes sense, because if the normal=weight even if there was a force applied at an angle to the horizontal, that means that an additional force would be added onto the y-component... and if the normal=weight, then there's nothing to cancel out that vertical force, and the object would accelerate vertically.
 
Correct!
 
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